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Finding the Fourth Proportional to 5,651.76, 8,472 and 2,728.46

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Solution

The fourth proportional to 5,651.76, 8,472 and 2,728.46 is: 4,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.76 : 8,472 = 2,728.46 : x
  2. Step 2: Convert to fraction form
    5,651.76/8,472 = 2,728.46/x
  3. Step 3: Cross multiply
    5,651.76x = 8,472 × 2,728.46
  4. Step 4: Simplify right side
    5,651.76x = 23,115,513.12
  5. Step 5: Solve for x
    x = 23,115,513.12/5,651.76
  6. Step 6: Final answer
    x = 4,089.97

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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.