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Finding the Fourth Proportional to 18,389.01, 27,581.12 and 6,542.30

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Solution

The fourth proportional to 18,389.01, 27,581.12 and 6,542.30 is: 9,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,389.01 : 27,581.12 = 6,542.30 : x
  2. Step 2: Convert to fraction form
    18,389.01/27,581.12 = 6,542.30/x
  3. Step 3: Cross multiply
    18,389.01x = 27,581.12 × 6,542.30
  4. Step 4: Simplify right side
    18,389.01x = 180,444,022.15
  5. Step 5: Solve for x
    x = 180,444,022.15/18,389.01
  6. Step 6: Final answer
    x = 9,812.60

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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.