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Finding the Fourth Proportional to 13,689.91, 20,543.97 and 7,451.49

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Solution

The fourth proportional to 13,689.91, 20,543.97 and 7,451.49 is: 11,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.91 : 20,543.97 = 7,451.49 : x
  2. Step 2: Convert to fraction form
    13,689.91/20,543.97 = 7,451.49/x
  3. Step 3: Cross multiply
    13,689.91x = 20,543.97 × 7,451.49
  4. Step 4: Simplify right side
    13,689.91x = 153,083,135.66
  5. Step 5: Solve for x
    x = 153,083,135.66/13,689.91
  6. Step 6: Final answer
    x = 11,182.19

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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.