Home / 1,424.82-2,135.64-932.18

Finding the Fourth Proportional to 1,424.82, 2,135.64 and 932.18

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Solution

The fourth proportional to 1,424.82, 2,135.64 and 932.18 is: 1,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.82 : 2,135.64 = 932.18 : x
  2. Step 2: Convert to fraction form
    1,424.82/2,135.64 = 932.18/x
  3. Step 3: Cross multiply
    1,424.82x = 2,135.64 × 932.18
  4. Step 4: Simplify right side
    1,424.82x = 1,990,793.23
  5. Step 5: Solve for x
    x = 1,990,793.23/1,424.82
  6. Step 6: Final answer
    x = 1,397.22

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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.