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Finding the Fourth Proportional to 13,115.74, 18,099.82 and 7,147.39

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Solution

The fourth proportional to 13,115.74, 18,099.82 and 7,147.39 is: 9,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.74 : 18,099.82 = 7,147.39 : x
  2. Step 2: Convert to fraction form
    13,115.74/18,099.82 = 7,147.39/x
  3. Step 3: Cross multiply
    13,115.74x = 18,099.82 × 7,147.39
  4. Step 4: Simplify right side
    13,115.74x = 129,366,439.94
  5. Step 5: Solve for x
    x = 129,366,439.94/13,115.74
  6. Step 6: Final answer
    x = 9,863.45

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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.