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Finding the Fourth Proportional to 18,142.20, 27,191.70 and 7,612.20

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Solution

The fourth proportional to 18,142.20, 27,191.70 and 7,612.20 is: 11,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.20 : 27,191.70 = 7,612.20 : x
  2. Step 2: Convert to fraction form
    18,142.20/27,191.70 = 7,612.20/x
  3. Step 3: Cross multiply
    18,142.20x = 27,191.70 × 7,612.20
  4. Step 4: Simplify right side
    18,142.20x = 206,988,658.74
  5. Step 5: Solve for x
    x = 206,988,658.74/18,142.20
  6. Step 6: Final answer
    x = 11,409.24

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1.5x scale

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.