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Finding the Fourth Proportional to 3,711.52, 5,123.64 and 2,649.52

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Solution

The fourth proportional to 3,711.52, 5,123.64 and 2,649.52 is: 3,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.52 : 5,123.64 = 2,649.52 : x
  2. Step 2: Convert to fraction form
    3,711.52/5,123.64 = 2,649.52/x
  3. Step 3: Cross multiply
    3,711.52x = 5,123.64 × 2,649.52
  4. Step 4: Simplify right side
    3,711.52x = 13,575,186.65
  5. Step 5: Solve for x
    x = 13,575,186.65/3,711.52
  6. Step 6: Final answer
    x = 3,657.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.