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Finding the Fourth Proportional to 2,664.06, 3,996.10 and 815.17

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Solution

The fourth proportional to 2,664.06, 3,996.10 and 815.17 is: 1,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.06 : 3,996.10 = 815.17 : x
  2. Step 2: Convert to fraction form
    2,664.06/3,996.10 = 815.17/x
  3. Step 3: Cross multiply
    2,664.06x = 3,996.10 × 815.17
  4. Step 4: Simplify right side
    2,664.06x = 3,257,500.84
  5. Step 5: Solve for x
    x = 3,257,500.84/2,664.06
  6. Step 6: Final answer
    x = 1,222.76

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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.