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Finding the Fourth Proportional to 2,664.34, 3,996.91 and 815.21

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Solution

The fourth proportional to 2,664.34, 3,996.91 and 815.21 is: 1,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.34 : 3,996.91 = 815.21 : x
  2. Step 2: Convert to fraction form
    2,664.34/3,996.91 = 815.21/x
  3. Step 3: Cross multiply
    2,664.34x = 3,996.91 × 815.21
  4. Step 4: Simplify right side
    2,664.34x = 3,258,321.00
  5. Step 5: Solve for x
    x = 3,258,321.00/2,664.34
  6. Step 6: Final answer
    x = 1,222.94

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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.