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Finding the Fourth Proportional to 15,811.20, 21,815.19 and 9,098.73

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Solution

The fourth proportional to 15,811.20, 21,815.19 and 9,098.73 is: 12,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.20 : 21,815.19 = 9,098.73 : x
  2. Step 2: Convert to fraction form
    15,811.20/21,815.19 = 9,098.73/x
  3. Step 3: Cross multiply
    15,811.20x = 21,815.19 × 9,098.73
  4. Step 4: Simplify right side
    15,811.20x = 198,490,523.71
  5. Step 5: Solve for x
    x = 198,490,523.71/15,811.20
  6. Step 6: Final answer
    x = 12,553.79

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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.