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Finding the Fourth Proportional to 34,385, 51,600.54 and 12,497

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Solution

The fourth proportional to 34,385, 51,600.54 and 12,497 is: 18,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,385 : 51,600.54 = 12,497 : x
  2. Step 2: Convert to fraction form
    34,385/51,600.54 = 12,497/x
  3. Step 3: Cross multiply
    34,385x = 51,600.54 × 12,497
  4. Step 4: Simplify right side
    34,385x = 644,851,948.38
  5. Step 5: Solve for x
    x = 644,851,948.38/34,385
  6. Step 6: Final answer
    x = 18,753.87

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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.