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Finding the Fourth Proportional to 3,687.81, 5,089.18 and 2,031.81

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Solution

The fourth proportional to 3,687.81, 5,089.18 and 2,031.81 is: 2,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.81 : 5,089.18 = 2,031.81 : x
  2. Step 2: Convert to fraction form
    3,687.81/5,089.18 = 2,031.81/x
  3. Step 3: Cross multiply
    3,687.81x = 5,089.18 × 2,031.81
  4. Step 4: Simplify right side
    3,687.81x = 10,340,246.82
  5. Step 5: Solve for x
    x = 10,340,246.82/3,687.81
  6. Step 6: Final answer
    x = 2,803.90

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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.