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Finding the Fourth Proportional to 9,952.38, 13,728.02 and 7,397.86

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Solution

The fourth proportional to 9,952.38, 13,728.02 and 7,397.86 is: 10,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.38 : 13,728.02 = 7,397.86 : x
  2. Step 2: Convert to fraction form
    9,952.38/13,728.02 = 7,397.86/x
  3. Step 3: Cross multiply
    9,952.38x = 13,728.02 × 7,397.86
  4. Step 4: Simplify right side
    9,952.38x = 101,557,970.04
  5. Step 5: Solve for x
    x = 101,557,970.04/9,952.38
  6. Step 6: Final answer
    x = 10,204.39

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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.