Home / 2,254.38-3,382.34-867.77

Finding the Fourth Proportional to 2,254.38, 3,382.34 and 867.77

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Solution

The fourth proportional to 2,254.38, 3,382.34 and 867.77 is: 1,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.38 : 3,382.34 = 867.77 : x
  2. Step 2: Convert to fraction form
    2,254.38/3,382.34 = 867.77/x
  3. Step 3: Cross multiply
    2,254.38x = 3,382.34 × 867.77
  4. Step 4: Simplify right side
    2,254.38x = 2,935,071.93
  5. Step 5: Solve for x
    x = 2,935,071.93/2,254.38
  6. Step 6: Final answer
    x = 1,301.94

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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.