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Finding the Fourth Proportional to 6,614.34, 9,129.24 and 5,175.86

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Solution

The fourth proportional to 6,614.34, 9,129.24 and 5,175.86 is: 7,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.34 : 9,129.24 = 5,175.86 : x
  2. Step 2: Convert to fraction form
    6,614.34/9,129.24 = 5,175.86/x
  3. Step 3: Cross multiply
    6,614.34x = 9,129.24 × 5,175.86
  4. Step 4: Simplify right side
    6,614.34x = 47,251,622.50
  5. Step 5: Solve for x
    x = 47,251,622.50/6,614.34
  6. Step 6: Final answer
    x = 7,143.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.