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Finding the Fourth Proportional to 7,141.50, 10,714.81 and 3,192.42

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Solution

The fourth proportional to 7,141.50, 10,714.81 and 3,192.42 is: 4,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.50 : 10,714.81 = 3,192.42 : x
  2. Step 2: Convert to fraction form
    7,141.50/10,714.81 = 3,192.42/x
  3. Step 3: Cross multiply
    7,141.50x = 10,714.81 × 3,192.42
  4. Step 4: Simplify right side
    7,141.50x = 34,206,173.74
  5. Step 5: Solve for x
    x = 34,206,173.74/7,141.50
  6. Step 6: Final answer
    x = 4,789.78

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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.