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Finding the Fourth Proportional to 13,107.61, 18,087.91 and 7,138.92

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Solution

The fourth proportional to 13,107.61, 18,087.91 and 7,138.92 is: 9,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.61 : 18,087.91 = 7,138.92 : x
  2. Step 2: Convert to fraction form
    13,107.61/18,087.91 = 7,138.92/x
  3. Step 3: Cross multiply
    13,107.61x = 18,087.91 × 7,138.92
  4. Step 4: Simplify right side
    13,107.61x = 129,128,142.46
  5. Step 5: Solve for x
    x = 129,128,142.46/13,107.61
  6. Step 6: Final answer
    x = 9,851.39

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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.