Home / 2,117.60-3,175.56-819.20

Finding the Fourth Proportional to 2,117.60, 3,175.56 and 819.20

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Solution

The fourth proportional to 2,117.60, 3,175.56 and 819.20 is: 1,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.60 : 3,175.56 = 819.20 : x
  2. Step 2: Convert to fraction form
    2,117.60/3,175.56 = 819.20/x
  3. Step 3: Cross multiply
    2,117.60x = 3,175.56 × 819.20
  4. Step 4: Simplify right side
    2,117.60x = 2,601,418.75
  5. Step 5: Solve for x
    x = 2,601,418.75/2,117.60
  6. Step 6: Final answer
    x = 1,228.48

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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.