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Finding the Fourth Proportional to 2,084.52, 3,126.78 and 545.52

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Solution

The fourth proportional to 2,084.52, 3,126.78 and 545.52 is: 818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.52 : 3,126.78 = 545.52 : x
  2. Step 2: Convert to fraction form
    2,084.52/3,126.78 = 545.52/x
  3. Step 3: Cross multiply
    2,084.52x = 3,126.78 × 545.52
  4. Step 4: Simplify right side
    2,084.52x = 1,705,721.03
  5. Step 5: Solve for x
    x = 1,705,721.03/2,084.52
  6. Step 6: Final answer
    x = 818.28

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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.