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Finding the Fourth Proportional to 36,909, 55,385.64 and 13,537.80

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Solution

The fourth proportional to 36,909, 55,385.64 and 13,537.80 is: 20,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909 : 55,385.64 = 13,537.80 : x
  2. Step 2: Convert to fraction form
    36,909/55,385.64 = 13,537.80/x
  3. Step 3: Cross multiply
    36,909x = 55,385.64 × 13,537.80
  4. Step 4: Simplify right side
    36,909x = 749,799,717.19
  5. Step 5: Solve for x
    x = 749,799,717.19/36,909
  6. Step 6: Final answer
    x = 20,314.82

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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.