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Finding the Fourth Proportional to 9,340.90, 12,890.43 and 5,149.15

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Solution

The fourth proportional to 9,340.90, 12,890.43 and 5,149.15 is: 7,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.90 : 12,890.43 = 5,149.15 : x
  2. Step 2: Convert to fraction form
    9,340.90/12,890.43 = 5,149.15/x
  3. Step 3: Cross multiply
    9,340.90x = 12,890.43 × 5,149.15
  4. Step 4: Simplify right side
    9,340.90x = 66,374,757.63
  5. Step 5: Solve for x
    x = 66,374,757.63/9,340.90
  6. Step 6: Final answer
    x = 7,105.82

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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.