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Finding the Fourth Proportional to 3,449.76, 5,171.68 and 1,693.76

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Solution

The fourth proportional to 3,449.76, 5,171.68 and 1,693.76 is: 2,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.76 : 5,171.68 = 1,693.76 : x
  2. Step 2: Convert to fraction form
    3,449.76/5,171.68 = 1,693.76/x
  3. Step 3: Cross multiply
    3,449.76x = 5,171.68 × 1,693.76
  4. Step 4: Simplify right side
    3,449.76x = 8,759,584.72
  5. Step 5: Solve for x
    x = 8,759,584.72/3,449.76
  6. Step 6: Final answer
    x = 2,539.19

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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.