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Finding the Fourth Proportional to 2,113.78, 3,170.68 and 814.34

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Solution

The fourth proportional to 2,113.78, 3,170.68 and 814.34 is: 1,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.78 : 3,170.68 = 814.34 : x
  2. Step 2: Convert to fraction form
    2,113.78/3,170.68 = 814.34/x
  3. Step 3: Cross multiply
    2,113.78x = 3,170.68 × 814.34
  4. Step 4: Simplify right side
    2,113.78x = 2,582,011.55
  5. Step 5: Solve for x
    x = 2,582,011.55/2,113.78
  6. Step 6: Final answer
    x = 1,221.51

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Similar ratio
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1.5x scale

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.