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Finding the Fourth Proportional to 1,820.48, 2,731.98 and 724.73

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Solution

The fourth proportional to 1,820.48, 2,731.98 and 724.73 is: 1,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.48 : 2,731.98 = 724.73 : x
  2. Step 2: Convert to fraction form
    1,820.48/2,731.98 = 724.73/x
  3. Step 3: Cross multiply
    1,820.48x = 2,731.98 × 724.73
  4. Step 4: Simplify right side
    1,820.48x = 1,979,947.87
  5. Step 5: Solve for x
    x = 1,979,947.87/1,820.48
  6. Step 6: Final answer
    x = 1,087.60

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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.