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Finding the Fourth Proportional to 2,020.20, 3,029.78 and 721.48

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Solution

The fourth proportional to 2,020.20, 3,029.78 and 721.48 is: 1,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.20 : 3,029.78 = 721.48 : x
  2. Step 2: Convert to fraction form
    2,020.20/3,029.78 = 721.48/x
  3. Step 3: Cross multiply
    2,020.20x = 3,029.78 × 721.48
  4. Step 4: Simplify right side
    2,020.20x = 2,185,925.67
  5. Step 5: Solve for x
    x = 2,185,925.67/2,020.20
  6. Step 6: Final answer
    x = 1,082.03

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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.