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Finding the Fourth Proportional to 2,182.96, 3,274.44 and 539.53

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Solution

The fourth proportional to 2,182.96, 3,274.44 and 539.53 is: 809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.96 : 3,274.44 = 539.53 : x
  2. Step 2: Convert to fraction form
    2,182.96/3,274.44 = 539.53/x
  3. Step 3: Cross multiply
    2,182.96x = 3,274.44 × 539.53
  4. Step 4: Simplify right side
    2,182.96x = 1,766,658.61
  5. Step 5: Solve for x
    x = 1,766,658.61/2,182.96
  6. Step 6: Final answer
    x = 809.30

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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.