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Finding the Fourth Proportional to 2,189.28, 3,283.86 and 545.88

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Solution

The fourth proportional to 2,189.28, 3,283.86 and 545.88 is: 818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.28 : 3,283.86 = 545.88 : x
  2. Step 2: Convert to fraction form
    2,189.28/3,283.86 = 545.88/x
  3. Step 3: Cross multiply
    2,189.28x = 3,283.86 × 545.88
  4. Step 4: Simplify right side
    2,189.28x = 1,792,593.50
  5. Step 5: Solve for x
    x = 1,792,593.50/2,189.28
  6. Step 6: Final answer
    x = 818.81

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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.