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Finding the Fourth Proportional to 9,922.62, 13,711.31 and 7,229.14

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Solution

The fourth proportional to 9,922.62, 13,711.31 and 7,229.14 is: 9,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.62 : 13,711.31 = 7,229.14 : x
  2. Step 2: Convert to fraction form
    9,922.62/13,711.31 = 7,229.14/x
  3. Step 3: Cross multiply
    9,922.62x = 13,711.31 × 7,229.14
  4. Step 4: Simplify right side
    9,922.62x = 99,120,979.57
  5. Step 5: Solve for x
    x = 99,120,979.57/9,922.62
  6. Step 6: Final answer
    x = 9,989.40

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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.