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Finding the Fourth Proportional to 8,549.92, 12,823.62 and 5,261.32

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Solution

The fourth proportional to 8,549.92, 12,823.62 and 5,261.32 is: 7,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.92 : 12,823.62 = 5,261.32 : x
  2. Step 2: Convert to fraction form
    8,549.92/12,823.62 = 5,261.32/x
  3. Step 3: Cross multiply
    8,549.92x = 12,823.62 × 5,261.32
  4. Step 4: Simplify right side
    8,549.92x = 67,469,168.38
  5. Step 5: Solve for x
    x = 67,469,168.38/8,549.92
  6. Step 6: Final answer
    x = 7,891.20

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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.