Home / 1,231.12-1,691.80-1,023.76

Finding the Fourth Proportional to 1,231.12, 1,691.80 and 1,023.76

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Solution

The fourth proportional to 1,231.12, 1,691.80 and 1,023.76 is: 1,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.12 : 1,691.80 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    1,231.12/1,691.80 = 1,023.76/x
  3. Step 3: Cross multiply
    1,231.12x = 1,691.80 × 1,023.76
  4. Step 4: Simplify right side
    1,231.12x = 1,731,997.17
  5. Step 5: Solve for x
    x = 1,731,997.17/1,231.12
  6. Step 6: Final answer
    x = 1,406.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.