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Finding the Fourth Proportional to 2,182.88, 3,274.23 and 539.38

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Solution

The fourth proportional to 2,182.88, 3,274.23 and 539.38 is: 809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.88 : 3,274.23 = 539.38 : x
  2. Step 2: Convert to fraction form
    2,182.88/3,274.23 = 539.38/x
  3. Step 3: Cross multiply
    2,182.88x = 3,274.23 × 539.38
  4. Step 4: Simplify right side
    2,182.88x = 1,766,056.25
  5. Step 5: Solve for x
    x = 1,766,056.25/2,182.88
  6. Step 6: Final answer
    x = 809.05

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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.