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Finding the Fourth Proportional to 7,661.80, 11,498.42 and 5,691.98

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Solution

The fourth proportional to 7,661.80, 11,498.42 and 5,691.98 is: 8,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.80 : 11,498.42 = 5,691.98 : x
  2. Step 2: Convert to fraction form
    7,661.80/11,498.42 = 5,691.98/x
  3. Step 3: Cross multiply
    7,661.80x = 11,498.42 × 5,691.98
  4. Step 4: Simplify right side
    7,661.80x = 65,448,776.67
  5. Step 5: Solve for x
    x = 65,448,776.67/7,661.80
  6. Step 6: Final answer
    x = 8,542.22

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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.