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Finding the Fourth Proportional to 6,643.20, 9,979.65 and 5,549.70

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Solution

The fourth proportional to 6,643.20, 9,979.65 and 5,549.70 is: 8,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.20 : 9,979.65 = 5,549.70 : x
  2. Step 2: Convert to fraction form
    6,643.20/9,979.65 = 5,549.70/x
  3. Step 3: Cross multiply
    6,643.20x = 9,979.65 × 5,549.70
  4. Step 4: Simplify right side
    6,643.20x = 55,384,063.61
  5. Step 5: Solve for x
    x = 55,384,063.61/6,643.20
  6. Step 6: Final answer
    x = 8,336.96

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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.