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Finding the Fourth Proportional to 2,189.23, 3,283.74 and 545.78

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Solution

The fourth proportional to 2,189.23, 3,283.74 and 545.78 is: 818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.23 : 3,283.74 = 545.78 : x
  2. Step 2: Convert to fraction form
    2,189.23/3,283.74 = 545.78/x
  3. Step 3: Cross multiply
    2,189.23x = 3,283.74 × 545.78
  4. Step 4: Simplify right side
    2,189.23x = 1,792,207.83
  5. Step 5: Solve for x
    x = 1,792,207.83/2,189.23
  6. Step 6: Final answer
    x = 818.65

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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.