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Finding the Fourth Proportional to 5,001.38, 7,502.10 and 1,714.50

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Solution

The fourth proportional to 5,001.38, 7,502.10 and 1,714.50 is: 2,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.38 : 7,502.10 = 1,714.50 : x
  2. Step 2: Convert to fraction form
    5,001.38/7,502.10 = 1,714.50/x
  3. Step 3: Cross multiply
    5,001.38x = 7,502.10 × 1,714.50
  4. Step 4: Simplify right side
    5,001.38x = 12,862,350.45
  5. Step 5: Solve for x
    x = 12,862,350.45/5,001.38
  6. Step 6: Final answer
    x = 2,571.76

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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.