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Finding the Fourth Proportional to 15,189.62, 22,784.42 and 6,424.61

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Solution

The fourth proportional to 15,189.62, 22,784.42 and 6,424.61 is: 9,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.62 : 22,784.42 = 6,424.61 : x
  2. Step 2: Convert to fraction form
    15,189.62/22,784.42 = 6,424.61/x
  3. Step 3: Cross multiply
    15,189.62x = 22,784.42 × 6,424.61
  4. Step 4: Simplify right side
    15,189.62x = 146,380,866.53
  5. Step 5: Solve for x
    x = 146,380,866.53/15,189.62
  6. Step 6: Final answer
    x = 9,636.90

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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.