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Finding the Fourth Proportional to 35,655.57, 53,469 and 13,456.89

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Solution

The fourth proportional to 35,655.57, 53,469 and 13,456.89 is: 20,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.57 : 53,469 = 13,456.89 : x
  2. Step 2: Convert to fraction form
    35,655.57/53,469 = 13,456.89/x
  3. Step 3: Cross multiply
    35,655.57x = 53,469 × 13,456.89
  4. Step 4: Simplify right side
    35,655.57x = 719,526,451.41
  5. Step 5: Solve for x
    x = 719,526,451.41/35,655.57
  6. Step 6: Final answer
    x = 20,179.92

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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.