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Finding the Fourth Proportional to 8,447.38, 11,641.92 and 5,609.74

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Solution

The fourth proportional to 8,447.38, 11,641.92 and 5,609.74 is: 7,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.38 : 11,641.92 = 5,609.74 : x
  2. Step 2: Convert to fraction form
    8,447.38/11,641.92 = 5,609.74/x
  3. Step 3: Cross multiply
    8,447.38x = 11,641.92 × 5,609.74
  4. Step 4: Simplify right side
    8,447.38x = 65,308,144.30
  5. Step 5: Solve for x
    x = 65,308,144.30/8,447.38
  6. Step 6: Final answer
    x = 7,731.17

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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.