Home / 1,415.73-2,123.16-979.78

Finding the Fourth Proportional to 1,415.73, 2,123.16 and 979.78

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Solution

The fourth proportional to 1,415.73, 2,123.16 and 979.78 is: 1,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.73 : 2,123.16 = 979.78 : x
  2. Step 2: Convert to fraction form
    1,415.73/2,123.16 = 979.78/x
  3. Step 3: Cross multiply
    1,415.73x = 2,123.16 × 979.78
  4. Step 4: Simplify right side
    1,415.73x = 2,080,229.70
  5. Step 5: Solve for x
    x = 2,080,229.70/1,415.73
  6. Step 6: Final answer
    x = 1,469.37

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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.