Home / 2,114.46-3,171.96-815.76

Finding the Fourth Proportional to 2,114.46, 3,171.96 and 815.76

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Solution

The fourth proportional to 2,114.46, 3,171.96 and 815.76 is: 1,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.46 : 3,171.96 = 815.76 : x
  2. Step 2: Convert to fraction form
    2,114.46/3,171.96 = 815.76/x
  3. Step 3: Cross multiply
    2,114.46x = 3,171.96 × 815.76
  4. Step 4: Simplify right side
    2,114.46x = 2,587,558.09
  5. Step 5: Solve for x
    x = 2,587,558.09/2,114.46
  6. Step 6: Final answer
    x = 1,223.74

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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.