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Finding the Fourth Proportional to 18,103, 27,129.84 and 9,319.36

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Solution

The fourth proportional to 18,103, 27,129.84 and 9,319.36 is: 13,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,103 : 27,129.84 = 9,319.36 : x
  2. Step 2: Convert to fraction form
    18,103/27,129.84 = 9,319.36/x
  3. Step 3: Cross multiply
    18,103x = 27,129.84 × 9,319.36
  4. Step 4: Simplify right side
    18,103x = 252,832,745.70
  5. Step 5: Solve for x
    x = 252,832,745.70/18,103
  6. Step 6: Final answer
    x = 13,966.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.