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Finding the Fourth Proportional to 10,006.60, 14,981.10 and 8,969.80

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Solution

The fourth proportional to 10,006.60, 14,981.10 and 8,969.80 is: 13,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.60 : 14,981.10 = 8,969.80 : x
  2. Step 2: Convert to fraction form
    10,006.60/14,981.10 = 8,969.80/x
  3. Step 3: Cross multiply
    10,006.60x = 14,981.10 × 8,969.80
  4. Step 4: Simplify right side
    10,006.60x = 134,377,470.78
  5. Step 5: Solve for x
    x = 134,377,470.78/10,006.60
  6. Step 6: Final answer
    x = 13,428.88

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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.