Home / 1,538.93-2,311.13-1,456.92

Finding the Fourth Proportional to 1,538.93, 2,311.13 and 1,456.92

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Solution

The fourth proportional to 1,538.93, 2,311.13 and 1,456.92 is: 2,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.93 : 2,311.13 = 1,456.92 : x
  2. Step 2: Convert to fraction form
    1,538.93/2,311.13 = 1,456.92/x
  3. Step 3: Cross multiply
    1,538.93x = 2,311.13 × 1,456.92
  4. Step 4: Simplify right side
    1,538.93x = 3,367,135.16
  5. Step 5: Solve for x
    x = 3,367,135.16/1,538.93
  6. Step 6: Final answer
    x = 2,187.97

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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.