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Finding the Fourth Proportional to 2,160.80, 3,241.52 and 773.81

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Solution

The fourth proportional to 2,160.80, 3,241.52 and 773.81 is: 1,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.80 : 3,241.52 = 773.81 : x
  2. Step 2: Convert to fraction form
    2,160.80/3,241.52 = 773.81/x
  3. Step 3: Cross multiply
    2,160.80x = 3,241.52 × 773.81
  4. Step 4: Simplify right side
    2,160.80x = 2,508,315.57
  5. Step 5: Solve for x
    x = 2,508,315.57/2,160.80
  6. Step 6: Final answer
    x = 1,160.83

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1.5x scale

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.