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Finding the Fourth Proportional to 1,820.92, 2,731.42 and 725.80

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Solution

The fourth proportional to 1,820.92, 2,731.42 and 725.80 is: 1,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.92 : 2,731.42 = 725.80 : x
  2. Step 2: Convert to fraction form
    1,820.92/2,731.42 = 725.80/x
  3. Step 3: Cross multiply
    1,820.92x = 2,731.42 × 725.80
  4. Step 4: Simplify right side
    1,820.92x = 1,982,464.64
  5. Step 5: Solve for x
    x = 1,982,464.64/1,820.92
  6. Step 6: Final answer
    x = 1,088.72

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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.