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Finding the Fourth Proportional to 2,721.78, 4,082.78 and 872.96

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Solution

The fourth proportional to 2,721.78, 4,082.78 and 872.96 is: 1,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.78 : 4,082.78 = 872.96 : x
  2. Step 2: Convert to fraction form
    2,721.78/4,082.78 = 872.96/x
  3. Step 3: Cross multiply
    2,721.78x = 4,082.78 × 872.96
  4. Step 4: Simplify right side
    2,721.78x = 3,564,103.63
  5. Step 5: Solve for x
    x = 3,564,103.63/2,721.78
  6. Step 6: Final answer
    x = 1,309.48

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1.5x scale

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.