Home / 2,254.80-3,381.18-1,022.16

Finding the Fourth Proportional to 2,254.80, 3,381.18 and 1,022.16

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Solution

The fourth proportional to 2,254.80, 3,381.18 and 1,022.16 is: 1,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.80 : 3,381.18 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    2,254.80/3,381.18 = 1,022.16/x
  3. Step 3: Cross multiply
    2,254.80x = 3,381.18 × 1,022.16
  4. Step 4: Simplify right side
    2,254.80x = 3,456,106.95
  5. Step 5: Solve for x
    x = 3,456,106.95/2,254.80
  6. Step 6: Final answer
    x = 1,532.78

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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.