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Finding the Fourth Proportional to 3,867.92, 5,795.40 and 2,708

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Solution

The fourth proportional to 3,867.92, 5,795.40 and 2,708 is: 4,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.92 : 5,795.40 = 2,708 : x
  2. Step 2: Convert to fraction form
    3,867.92/5,795.40 = 2,708/x
  3. Step 3: Cross multiply
    3,867.92x = 5,795.40 × 2,708
  4. Step 4: Simplify right side
    3,867.92x = 15,693,943.20
  5. Step 5: Solve for x
    x = 15,693,943.20/3,867.92
  6. Step 6: Final answer
    x = 4,057.46

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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.