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Finding the Fourth Proportional to 18,204, 27,280.61 and 13,758.01

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Solution

The fourth proportional to 18,204, 27,280.61 and 13,758.01 is: 20,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204 : 27,280.61 = 13,758.01 : x
  2. Step 2: Convert to fraction form
    18,204/27,280.61 = 13,758.01/x
  3. Step 3: Cross multiply
    18,204x = 27,280.61 × 13,758.01
  4. Step 4: Simplify right side
    18,204x = 375,326,905.19
  5. Step 5: Solve for x
    x = 375,326,905.19/18,204
  6. Step 6: Final answer
    x = 20,617.83

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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.