Home / 1,026.20-1,422.15-1,006.76

Finding the Fourth Proportional to 1,026.20, 1,422.15 and 1,006.76

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Solution

The fourth proportional to 1,026.20, 1,422.15 and 1,006.76 is: 1,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.20 : 1,422.15 = 1,006.76 : x
  2. Step 2: Convert to fraction form
    1,026.20/1,422.15 = 1,006.76/x
  3. Step 3: Cross multiply
    1,026.20x = 1,422.15 × 1,006.76
  4. Step 4: Simplify right side
    1,026.20x = 1,431,763.73
  5. Step 5: Solve for x
    x = 1,431,763.73/1,026.20
  6. Step 6: Final answer
    x = 1,395.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.