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Finding the Fourth Proportional to 2,182.59, 3,273.89 and 539.10

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Solution

The fourth proportional to 2,182.59, 3,273.89 and 539.10 is: 808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.59 : 3,273.89 = 539.10 : x
  2. Step 2: Convert to fraction form
    2,182.59/3,273.89 = 539.10/x
  3. Step 3: Cross multiply
    2,182.59x = 3,273.89 × 539.10
  4. Step 4: Simplify right side
    2,182.59x = 1,764,951.40
  5. Step 5: Solve for x
    x = 1,764,951.40/2,182.59
  6. Step 6: Final answer
    x = 808.65

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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.