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Finding the Fourth Proportional to 1,820.85, 2,731.74 and 725.21

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Solution

The fourth proportional to 1,820.85, 2,731.74 and 725.21 is: 1,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.85 : 2,731.74 = 725.21 : x
  2. Step 2: Convert to fraction form
    1,820.85/2,731.74 = 725.21/x
  3. Step 3: Cross multiply
    1,820.85x = 2,731.74 × 725.21
  4. Step 4: Simplify right side
    1,820.85x = 1,981,085.17
  5. Step 5: Solve for x
    x = 1,981,085.17/1,820.85
  6. Step 6: Final answer
    x = 1,088.00

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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.