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Finding the Fourth Proportional to 18,225.12, 27,342 and 7,132.80

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Solution

The fourth proportional to 18,225.12, 27,342 and 7,132.80 is: 10,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225.12 : 27,342 = 7,132.80 : x
  2. Step 2: Convert to fraction form
    18,225.12/27,342 = 7,132.80/x
  3. Step 3: Cross multiply
    18,225.12x = 27,342 × 7,132.80
  4. Step 4: Simplify right side
    18,225.12x = 195,025,017.60
  5. Step 5: Solve for x
    x = 195,025,017.60/18,225.12
  6. Step 6: Final answer
    x = 10,700.89

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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.