Home / 2,116.28-3,174.98-800.06

Finding the Fourth Proportional to 2,116.28, 3,174.98 and 800.06

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Solution

The fourth proportional to 2,116.28, 3,174.98 and 800.06 is: 1,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.28 : 3,174.98 = 800.06 : x
  2. Step 2: Convert to fraction form
    2,116.28/3,174.98 = 800.06/x
  3. Step 3: Cross multiply
    2,116.28x = 3,174.98 × 800.06
  4. Step 4: Simplify right side
    2,116.28x = 2,540,154.62
  5. Step 5: Solve for x
    x = 2,540,154.62/2,116.28
  6. Step 6: Final answer
    x = 1,200.30

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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.