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Finding the Fourth Proportional to 2,721.36, 4,082.28 and 773.60

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Solution

The fourth proportional to 2,721.36, 4,082.28 and 773.60 is: 1,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.36 : 4,082.28 = 773.60 : x
  2. Step 2: Convert to fraction form
    2,721.36/4,082.28 = 773.60/x
  3. Step 3: Cross multiply
    2,721.36x = 4,082.28 × 773.60
  4. Step 4: Simplify right side
    2,721.36x = 3,158,051.81
  5. Step 5: Solve for x
    x = 3,158,051.81/2,721.36
  6. Step 6: Final answer
    x = 1,160.47

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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.