Home / 2,117.76-3,175.92-819.12

Finding the Fourth Proportional to 2,117.76, 3,175.92 and 819.12

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Solution

The fourth proportional to 2,117.76, 3,175.92 and 819.12 is: 1,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.76 : 3,175.92 = 819.12 : x
  2. Step 2: Convert to fraction form
    2,117.76/3,175.92 = 819.12/x
  3. Step 3: Cross multiply
    2,117.76x = 3,175.92 × 819.12
  4. Step 4: Simplify right side
    2,117.76x = 2,601,459.59
  5. Step 5: Solve for x
    x = 2,601,459.59/2,117.76
  6. Step 6: Final answer
    x = 1,228.40

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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.