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Finding the Fourth Proportional to 2,721.67, 4,082.54 and 966.63

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Solution

The fourth proportional to 2,721.67, 4,082.54 and 966.63 is: 1,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.67 : 4,082.54 = 966.63 : x
  2. Step 2: Convert to fraction form
    2,721.67/4,082.54 = 966.63/x
  3. Step 3: Cross multiply
    2,721.67x = 4,082.54 × 966.63
  4. Step 4: Simplify right side
    2,721.67x = 3,946,316.12
  5. Step 5: Solve for x
    x = 3,946,316.12/2,721.67
  6. Step 6: Final answer
    x = 1,449.96

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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.