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Finding the Fourth Proportional to 2,489.31, 3,738.18 and 2,389.98

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Solution

The fourth proportional to 2,489.31, 3,738.18 and 2,389.98 is: 3,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.31 : 3,738.18 = 2,389.98 : x
  2. Step 2: Convert to fraction form
    2,489.31/3,738.18 = 2,389.98/x
  3. Step 3: Cross multiply
    2,489.31x = 3,738.18 × 2,389.98
  4. Step 4: Simplify right side
    2,489.31x = 8,934,167.74
  5. Step 5: Solve for x
    x = 8,934,167.74/2,489.31
  6. Step 6: Final answer
    x = 3,589.02

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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.