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Finding the Fourth Proportional to 12,782.71, 17,626.35 and 8,000.92

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Solution

The fourth proportional to 12,782.71, 17,626.35 and 8,000.92 is: 11,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.71 : 17,626.35 = 8,000.92 : x
  2. Step 2: Convert to fraction form
    12,782.71/17,626.35 = 8,000.92/x
  3. Step 3: Cross multiply
    12,782.71x = 17,626.35 × 8,000.92
  4. Step 4: Simplify right side
    12,782.71x = 141,027,016.24
  5. Step 5: Solve for x
    x = 141,027,016.24/12,782.71
  6. Step 6: Final answer
    x = 11,032.64

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Half scale
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Double scale
Find fourth proportional to 12,783.71, 17,627.73 and 8,001.92
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.