Home / 1,427.91-2,138.84-932.57

Finding the Fourth Proportional to 1,427.91, 2,138.84 and 932.57

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Solution

The fourth proportional to 1,427.91, 2,138.84 and 932.57 is: 1,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.91 : 2,138.84 = 932.57 : x
  2. Step 2: Convert to fraction form
    1,427.91/2,138.84 = 932.57/x
  3. Step 3: Cross multiply
    1,427.91x = 2,138.84 × 932.57
  4. Step 4: Simplify right side
    1,427.91x = 1,994,602.66
  5. Step 5: Solve for x
    x = 1,994,602.66/1,427.91
  6. Step 6: Final answer
    x = 1,396.87

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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.