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Finding the Fourth Proportional to 10,981.60, 16,472.40 and 9,983.20

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Solution

The fourth proportional to 10,981.60, 16,472.40 and 9,983.20 is: 14,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.60 : 16,472.40 = 9,983.20 : x
  2. Step 2: Convert to fraction form
    10,981.60/16,472.40 = 9,983.20/x
  3. Step 3: Cross multiply
    10,981.60x = 16,472.40 × 9,983.20
  4. Step 4: Simplify right side
    10,981.60x = 164,447,263.68
  5. Step 5: Solve for x
    x = 164,447,263.68/10,981.60
  6. Step 6: Final answer
    x = 14,974.80

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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.