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Finding the Fourth Proportional to 18,642.24, 27,957.02 and 6,793.20

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Solution

The fourth proportional to 18,642.24, 27,957.02 and 6,793.20 is: 10,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.24 : 27,957.02 = 6,793.20 : x
  2. Step 2: Convert to fraction form
    18,642.24/27,957.02 = 6,793.20/x
  3. Step 3: Cross multiply
    18,642.24x = 27,957.02 × 6,793.20
  4. Step 4: Simplify right side
    18,642.24x = 189,917,594.30
  5. Step 5: Solve for x
    x = 189,917,594.30/18,642.24
  6. Step 6: Final answer
    x = 10,187.49

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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.