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Finding the Fourth Proportional to 8,121.64, 12,182.44 and 1,965.64

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Solution

The fourth proportional to 8,121.64, 12,182.44 and 1,965.64 is: 2,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.64 : 12,182.44 = 1,965.64 : x
  2. Step 2: Convert to fraction form
    8,121.64/12,182.44 = 1,965.64/x
  3. Step 3: Cross multiply
    8,121.64x = 12,182.44 × 1,965.64
  4. Step 4: Simplify right side
    8,121.64x = 23,946,291.36
  5. Step 5: Solve for x
    x = 23,946,291.36/8,121.64
  6. Step 6: Final answer
    x = 2,948.46

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.