Home / 2,156.18-3,233.35-769.87

Finding the Fourth Proportional to 2,156.18, 3,233.35 and 769.87

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Solution

The fourth proportional to 2,156.18, 3,233.35 and 769.87 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.18 : 3,233.35 = 769.87 : x
  2. Step 2: Convert to fraction form
    2,156.18/3,233.35 = 769.87/x
  3. Step 3: Cross multiply
    2,156.18x = 3,233.35 × 769.87
  4. Step 4: Simplify right side
    2,156.18x = 2,489,259.16
  5. Step 5: Solve for x
    x = 2,489,259.16/2,156.18
  6. Step 6: Final answer
    x = 1,154.48

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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.