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Finding the Fourth Proportional to 9,174.62, 12,658.88 and 5,194.86

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Solution

The fourth proportional to 9,174.62, 12,658.88 and 5,194.86 is: 7,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.62 : 12,658.88 = 5,194.86 : x
  2. Step 2: Convert to fraction form
    9,174.62/12,658.88 = 5,194.86/x
  3. Step 3: Cross multiply
    9,174.62x = 12,658.88 × 5,194.86
  4. Step 4: Simplify right side
    9,174.62x = 65,761,109.36
  5. Step 5: Solve for x
    x = 65,761,109.36/9,174.62
  6. Step 6: Final answer
    x = 7,167.72

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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.