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Finding the Fourth Proportional to 9,039.40, 12,474 and 5,059.78

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Solution

The fourth proportional to 9,039.40, 12,474 and 5,059.78 is: 6,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.40 : 12,474 = 5,059.78 : x
  2. Step 2: Convert to fraction form
    9,039.40/12,474 = 5,059.78/x
  3. Step 3: Cross multiply
    9,039.40x = 12,474 × 5,059.78
  4. Step 4: Simplify right side
    9,039.40x = 63,115,695.72
  5. Step 5: Solve for x
    x = 63,115,695.72/9,039.40
  6. Step 6: Final answer
    x = 6,982.29

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Why These Related Problems?

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