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Finding the Fourth Proportional to 3,357.60, 5,032.80 and 1,276.80

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Solution

The fourth proportional to 3,357.60, 5,032.80 and 1,276.80 is: 1,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.60 : 5,032.80 = 1,276.80 : x
  2. Step 2: Convert to fraction form
    3,357.60/5,032.80 = 1,276.80/x
  3. Step 3: Cross multiply
    3,357.60x = 5,032.80 × 1,276.80
  4. Step 4: Simplify right side
    3,357.60x = 6,425,879.04
  5. Step 5: Solve for x
    x = 6,425,879.04/3,357.60
  6. Step 6: Final answer
    x = 1,913.83

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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.