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Finding the Fourth Proportional to 3,449.79, 5,175.29 and 1,259.96

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Solution

The fourth proportional to 3,449.79, 5,175.29 and 1,259.96 is: 1,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.79 : 5,175.29 = 1,259.96 : x
  2. Step 2: Convert to fraction form
    3,449.79/5,175.29 = 1,259.96/x
  3. Step 3: Cross multiply
    3,449.79x = 5,175.29 × 1,259.96
  4. Step 4: Simplify right side
    3,449.79x = 6,520,635.66
  5. Step 5: Solve for x
    x = 6,520,635.66/3,449.79
  6. Step 6: Final answer
    x = 1,890.15

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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.