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Finding the Fourth Proportional to 7,175.69, 10,761.98 and 5,089.87

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Solution

The fourth proportional to 7,175.69, 10,761.98 and 5,089.87 is: 7,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.69 : 10,761.98 = 5,089.87 : x
  2. Step 2: Convert to fraction form
    7,175.69/10,761.98 = 5,089.87/x
  3. Step 3: Cross multiply
    7,175.69x = 10,761.98 × 5,089.87
  4. Step 4: Simplify right side
    7,175.69x = 54,777,079.14
  5. Step 5: Solve for x
    x = 54,777,079.14/7,175.69
  6. Step 6: Final answer
    x = 7,633.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.