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Finding the Fourth Proportional to 3,687.88, 5,089.26 and 2,031.88

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Solution

The fourth proportional to 3,687.88, 5,089.26 and 2,031.88 is: 2,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.88 : 5,089.26 = 2,031.88 : x
  2. Step 2: Convert to fraction form
    3,687.88/5,089.26 = 2,031.88/x
  3. Step 3: Cross multiply
    3,687.88x = 5,089.26 × 2,031.88
  4. Step 4: Simplify right side
    3,687.88x = 10,340,765.61
  5. Step 5: Solve for x
    x = 10,340,765.61/3,687.88
  6. Step 6: Final answer
    x = 2,803.99

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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.