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Finding the Fourth Proportional to 6,663.47, 9,979.65 and 5,267.43

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Solution

The fourth proportional to 6,663.47, 9,979.65 and 5,267.43 is: 7,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.47 : 9,979.65 = 5,267.43 : x
  2. Step 2: Convert to fraction form
    6,663.47/9,979.65 = 5,267.43/x
  3. Step 3: Cross multiply
    6,663.47x = 9,979.65 × 5,267.43
  4. Step 4: Simplify right side
    6,663.47x = 52,567,107.80
  5. Step 5: Solve for x
    x = 52,567,107.80/6,663.47
  6. Step 6: Final answer
    x = 7,888.85

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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.