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Finding the Fourth Proportional to 3,449.76, 5,174 and 1,140.96

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Solution

The fourth proportional to 3,449.76, 5,174 and 1,140.96 is: 1,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.76 : 5,174 = 1,140.96 : x
  2. Step 2: Convert to fraction form
    3,449.76/5,174 = 1,140.96/x
  3. Step 3: Cross multiply
    3,449.76x = 5,174 × 1,140.96
  4. Step 4: Simplify right side
    3,449.76x = 5,903,327.04
  5. Step 5: Solve for x
    x = 5,903,327.04/3,449.76
  6. Step 6: Final answer
    x = 1,711.23

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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.