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Finding the Fourth Proportional to 3,891.72, 5,367.54 and 2,319.48

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Solution

The fourth proportional to 3,891.72, 5,367.54 and 2,319.48 is: 3,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.72 : 5,367.54 = 2,319.48 : x
  2. Step 2: Convert to fraction form
    3,891.72/5,367.54 = 2,319.48/x
  3. Step 3: Cross multiply
    3,891.72x = 5,367.54 × 2,319.48
  4. Step 4: Simplify right side
    3,891.72x = 12,449,901.68
  5. Step 5: Solve for x
    x = 12,449,901.68/3,891.72
  6. Step 6: Final answer
    x = 3,199.07

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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.