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Finding the Fourth Proportional to 3,679.28, 5,077.28 and 2,000.64

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Solution

The fourth proportional to 3,679.28, 5,077.28 and 2,000.64 is: 2,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.28 : 5,077.28 = 2,000.64 : x
  2. Step 2: Convert to fraction form
    3,679.28/5,077.28 = 2,000.64/x
  3. Step 3: Cross multiply
    3,679.28x = 5,077.28 × 2,000.64
  4. Step 4: Simplify right side
    3,679.28x = 10,157,809.46
  5. Step 5: Solve for x
    x = 10,157,809.46/3,679.28
  6. Step 6: Final answer
    x = 2,760.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.