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Finding the Fourth Proportional to 8,397.14, 11,585.96 and 5,409.38

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Solution

The fourth proportional to 8,397.14, 11,585.96 and 5,409.38 is: 7,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.14 : 11,585.96 = 5,409.38 : x
  2. Step 2: Convert to fraction form
    8,397.14/11,585.96 = 5,409.38/x
  3. Step 3: Cross multiply
    8,397.14x = 11,585.96 × 5,409.38
  4. Step 4: Simplify right side
    8,397.14x = 62,672,860.30
  5. Step 5: Solve for x
    x = 62,672,860.30/8,397.14
  6. Step 6: Final answer
    x = 7,463.60

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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.