Home / 2,972.29-4,458.20-780.96

Finding the Fourth Proportional to 2,972.29, 4,458.20 and 780.96

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Solution

The fourth proportional to 2,972.29, 4,458.20 and 780.96 is: 1,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.29 : 4,458.20 = 780.96 : x
  2. Step 2: Convert to fraction form
    2,972.29/4,458.20 = 780.96/x
  3. Step 3: Cross multiply
    2,972.29x = 4,458.20 × 780.96
  4. Step 4: Simplify right side
    2,972.29x = 3,481,671.97
  5. Step 5: Solve for x
    x = 3,481,671.97/2,972.29
  6. Step 6: Final answer
    x = 1,171.38

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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.