Home / 2,098.12-3,143.90-1,327

Finding the Fourth Proportional to 2,098.12, 3,143.90 and 1,327

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Solution

The fourth proportional to 2,098.12, 3,143.90 and 1,327 is: 1,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.12 : 3,143.90 = 1,327 : x
  2. Step 2: Convert to fraction form
    2,098.12/3,143.90 = 1,327/x
  3. Step 3: Cross multiply
    2,098.12x = 3,143.90 × 1,327
  4. Step 4: Simplify right side
    2,098.12x = 4,171,955.30
  5. Step 5: Solve for x
    x = 4,171,955.30/2,098.12
  6. Step 6: Final answer
    x = 1,988.43

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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.