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Finding the Fourth Proportional to 13,668.31, 20,502.87 and 7,431.31

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Solution

The fourth proportional to 13,668.31, 20,502.87 and 7,431.31 is: 11,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.31 : 20,502.87 = 7,431.31 : x
  2. Step 2: Convert to fraction form
    13,668.31/20,502.87 = 7,431.31/x
  3. Step 3: Cross multiply
    13,668.31x = 20,502.87 × 7,431.31
  4. Step 4: Simplify right side
    13,668.31x = 152,363,182.86
  5. Step 5: Solve for x
    x = 152,363,182.86/13,668.31
  6. Step 6: Final answer
    x = 11,147.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.