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Finding the Fourth Proportional to 7,142.70, 10,714.50 and 2,760.18

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Solution

The fourth proportional to 7,142.70, 10,714.50 and 2,760.18 is: 4,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.70 : 10,714.50 = 2,760.18 : x
  2. Step 2: Convert to fraction form
    7,142.70/10,714.50 = 2,760.18/x
  3. Step 3: Cross multiply
    7,142.70x = 10,714.50 × 2,760.18
  4. Step 4: Simplify right side
    7,142.70x = 29,573,948.61
  5. Step 5: Solve for x
    x = 29,573,948.61/7,142.70
  6. Step 6: Final answer
    x = 4,140.44

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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.