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Finding the Fourth Proportional to 5,142.98, 7,714.42 and 1,446.24

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Solution

The fourth proportional to 5,142.98, 7,714.42 and 1,446.24 is: 2,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.98 : 7,714.42 = 1,446.24 : x
  2. Step 2: Convert to fraction form
    5,142.98/7,714.42 = 1,446.24/x
  3. Step 3: Cross multiply
    5,142.98x = 7,714.42 × 1,446.24
  4. Step 4: Simplify right side
    5,142.98x = 11,156,902.78
  5. Step 5: Solve for x
    x = 11,156,902.78/5,142.98
  6. Step 6: Final answer
    x = 2,169.35

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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.