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Finding the Fourth Proportional to 3,429.60, 5,140.80 and 1,348.80

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Solution

The fourth proportional to 3,429.60, 5,140.80 and 1,348.80 is: 2,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.60 : 5,140.80 = 1,348.80 : x
  2. Step 2: Convert to fraction form
    3,429.60/5,140.80 = 1,348.80/x
  3. Step 3: Cross multiply
    3,429.60x = 5,140.80 × 1,348.80
  4. Step 4: Simplify right side
    3,429.60x = 6,933,911.04
  5. Step 5: Solve for x
    x = 6,933,911.04/3,429.60
  6. Step 6: Final answer
    x = 2,021.78

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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.