Home / 1,438.14-2,154.30-997.90

Finding the Fourth Proportional to 1,438.14, 2,154.30 and 997.90

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Solution

The fourth proportional to 1,438.14, 2,154.30 and 997.90 is: 1,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.14 : 2,154.30 = 997.90 : x
  2. Step 2: Convert to fraction form
    1,438.14/2,154.30 = 997.90/x
  3. Step 3: Cross multiply
    1,438.14x = 2,154.30 × 997.90
  4. Step 4: Simplify right side
    1,438.14x = 2,149,775.97
  5. Step 5: Solve for x
    x = 2,149,775.97/1,438.14
  6. Step 6: Final answer
    x = 1,494.83

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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.