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Finding the Fourth Proportional to 12,886.80, 17,782.30 and 7,220.76

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Solution

The fourth proportional to 12,886.80, 17,782.30 and 7,220.76 is: 9,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.80 : 17,782.30 = 7,220.76 : x
  2. Step 2: Convert to fraction form
    12,886.80/17,782.30 = 7,220.76/x
  3. Step 3: Cross multiply
    12,886.80x = 17,782.30 × 7,220.76
  4. Step 4: Simplify right side
    12,886.80x = 128,401,720.55
  5. Step 5: Solve for x
    x = 128,401,720.55/12,886.80
  6. Step 6: Final answer
    x = 9,963.82

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Half scale
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Double scale
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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.