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Finding the Fourth Proportional to 18,497.20, 27,740.40 and 7,400.20

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Solution

The fourth proportional to 18,497.20, 27,740.40 and 7,400.20 is: 11,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.20 : 27,740.40 = 7,400.20 : x
  2. Step 2: Convert to fraction form
    18,497.20/27,740.40 = 7,400.20/x
  3. Step 3: Cross multiply
    18,497.20x = 27,740.40 × 7,400.20
  4. Step 4: Simplify right side
    18,497.20x = 205,284,508.08
  5. Step 5: Solve for x
    x = 205,284,508.08/18,497.20
  6. Step 6: Final answer
    x = 11,098.14

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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.