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Finding the Fourth Proportional to 12,497.52, 17,250 and 7,779

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Solution

The fourth proportional to 12,497.52, 17,250 and 7,779 is: 10,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.52 : 17,250 = 7,779 : x
  2. Step 2: Convert to fraction form
    12,497.52/17,250 = 7,779/x
  3. Step 3: Cross multiply
    12,497.52x = 17,250 × 7,779
  4. Step 4: Simplify right side
    12,497.52x = 134,187,750
  5. Step 5: Solve for x
    x = 134,187,750/12,497.52
  6. Step 6: Final answer
    x = 10,737.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.