Home / 2,116.80-3,173.28-819.24

Finding the Fourth Proportional to 2,116.80, 3,173.28 and 819.24

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Solution

The fourth proportional to 2,116.80, 3,173.28 and 819.24 is: 1,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.80 : 3,173.28 = 819.24 : x
  2. Step 2: Convert to fraction form
    2,116.80/3,173.28 = 819.24/x
  3. Step 3: Cross multiply
    2,116.80x = 3,173.28 × 819.24
  4. Step 4: Simplify right side
    2,116.80x = 2,599,677.91
  5. Step 5: Solve for x
    x = 2,599,677.91/2,116.80
  6. Step 6: Final answer
    x = 1,228.12

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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.