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Finding the Fourth Proportional to 3,074, 4,610.32 and 1,429.68

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Solution

The fourth proportional to 3,074, 4,610.32 and 1,429.68 is: 2,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074 : 4,610.32 = 1,429.68 : x
  2. Step 2: Convert to fraction form
    3,074/4,610.32 = 1,429.68/x
  3. Step 3: Cross multiply
    3,074x = 4,610.32 × 1,429.68
  4. Step 4: Simplify right side
    3,074x = 6,591,282.30
  5. Step 5: Solve for x
    x = 6,591,282.30/3,074
  6. Step 6: Final answer
    x = 2,144.20

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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.