Home / 1,122.19-1,546.42-826.95

Finding the Fourth Proportional to 1,122.19, 1,546.42 and 826.95

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Solution

The fourth proportional to 1,122.19, 1,546.42 and 826.95 is: 1,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.19 : 1,546.42 = 826.95 : x
  2. Step 2: Convert to fraction form
    1,122.19/1,546.42 = 826.95/x
  3. Step 3: Cross multiply
    1,122.19x = 1,546.42 × 826.95
  4. Step 4: Simplify right side
    1,122.19x = 1,278,812.02
  5. Step 5: Solve for x
    x = 1,278,812.02/1,122.19
  6. Step 6: Final answer
    x = 1,139.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.