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Finding the Fourth Proportional to 6,344, 8,754.72 and 3,549.92

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Solution

The fourth proportional to 6,344, 8,754.72 and 3,549.92 is: 4,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344 : 8,754.72 = 3,549.92 : x
  2. Step 2: Convert to fraction form
    6,344/8,754.72 = 3,549.92/x
  3. Step 3: Cross multiply
    6,344x = 8,754.72 × 3,549.92
  4. Step 4: Simplify right side
    6,344x = 31,078,555.62
  5. Step 5: Solve for x
    x = 31,078,555.62/6,344
  6. Step 6: Final answer
    x = 4,898.89

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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.