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Finding the Fourth Proportional to 2,188.85, 3,283.22 and 545.38

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Solution

The fourth proportional to 2,188.85, 3,283.22 and 545.38 is: 818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.85 : 3,283.22 = 545.38 : x
  2. Step 2: Convert to fraction form
    2,188.85/3,283.22 = 545.38/x
  3. Step 3: Cross multiply
    2,188.85x = 3,283.22 × 545.38
  4. Step 4: Simplify right side
    2,188.85x = 1,790,583.38
  5. Step 5: Solve for x
    x = 1,790,583.38/2,188.85
  6. Step 6: Final answer
    x = 818.05

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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.