Home / 2,156.38-3,235.04-769.79

Finding the Fourth Proportional to 2,156.38, 3,235.04 and 769.79

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Solution

The fourth proportional to 2,156.38, 3,235.04 and 769.79 is: 1,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.38 : 3,235.04 = 769.79 : x
  2. Step 2: Convert to fraction form
    2,156.38/3,235.04 = 769.79/x
  3. Step 3: Cross multiply
    2,156.38x = 3,235.04 × 769.79
  4. Step 4: Simplify right side
    2,156.38x = 2,490,301.44
  5. Step 5: Solve for x
    x = 2,490,301.44/2,156.38
  6. Step 6: Final answer
    x = 1,154.85

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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.