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Finding the Fourth Proportional to 15,122.86, 22,658.87 and 7,616.43

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Solution

The fourth proportional to 15,122.86, 22,658.87 and 7,616.43 is: 11,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.86 : 22,658.87 = 7,616.43 : x
  2. Step 2: Convert to fraction form
    15,122.86/22,658.87 = 7,616.43/x
  3. Step 3: Cross multiply
    15,122.86x = 22,658.87 × 7,616.43
  4. Step 4: Simplify right side
    15,122.86x = 172,579,716.28
  5. Step 5: Solve for x
    x = 172,579,716.28/15,122.86
  6. Step 6: Final answer
    x = 11,411.85

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1.5x scale

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.