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Finding the Fourth Proportional to 9,390.28, 12,957 and 5,614.96

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Solution

The fourth proportional to 9,390.28, 12,957 and 5,614.96 is: 7,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.28 : 12,957 = 5,614.96 : x
  2. Step 2: Convert to fraction form
    9,390.28/12,957 = 5,614.96/x
  3. Step 3: Cross multiply
    9,390.28x = 12,957 × 5,614.96
  4. Step 4: Simplify right side
    9,390.28x = 72,753,036.72
  5. Step 5: Solve for x
    x = 72,753,036.72/9,390.28
  6. Step 6: Final answer
    x = 7,747.70

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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.