Home / 2,134.28-3,200.88-817.76

Finding the Fourth Proportional to 2,134.28, 3,200.88 and 817.76

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Solution

The fourth proportional to 2,134.28, 3,200.88 and 817.76 is: 1,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.28 : 3,200.88 = 817.76 : x
  2. Step 2: Convert to fraction form
    2,134.28/3,200.88 = 817.76/x
  3. Step 3: Cross multiply
    2,134.28x = 3,200.88 × 817.76
  4. Step 4: Simplify right side
    2,134.28x = 2,617,551.63
  5. Step 5: Solve for x
    x = 2,617,551.63/2,134.28
  6. Step 6: Final answer
    x = 1,226.43

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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.