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Finding the Fourth Proportional to 9,167.89, 12,651.31 and 5,189.22

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Solution

The fourth proportional to 9,167.89, 12,651.31 and 5,189.22 is: 7,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.89 : 12,651.31 = 5,189.22 : x
  2. Step 2: Convert to fraction form
    9,167.89/12,651.31 = 5,189.22/x
  3. Step 3: Cross multiply
    9,167.89x = 12,651.31 × 5,189.22
  4. Step 4: Simplify right side
    9,167.89x = 65,650,404.93
  5. Step 5: Solve for x
    x = 65,650,404.93/9,167.89
  6. Step 6: Final answer
    x = 7,160.91

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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.