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Finding the Fourth Proportional to 29,257.62, 43,890.76 and 8,478.42

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Solution

The fourth proportional to 29,257.62, 43,890.76 and 8,478.42 is: 12,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,257.62 : 43,890.76 = 8,478.42 : x
  2. Step 2: Convert to fraction form
    29,257.62/43,890.76 = 8,478.42/x
  3. Step 3: Cross multiply
    29,257.62x = 43,890.76 × 8,478.42
  4. Step 4: Simplify right side
    29,257.62x = 372,124,297.40
  5. Step 5: Solve for x
    x = 372,124,297.40/29,257.62
  6. Step 6: Final answer
    x = 12,718.88

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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.