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Finding the Fourth Proportional to 2,664.36, 3,996.56 and 815.33

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Solution

The fourth proportional to 2,664.36, 3,996.56 and 815.33 is: 1,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.36 : 3,996.56 = 815.33 : x
  2. Step 2: Convert to fraction form
    2,664.36/3,996.56 = 815.33/x
  3. Step 3: Cross multiply
    2,664.36x = 3,996.56 × 815.33
  4. Step 4: Simplify right side
    2,664.36x = 3,258,527.29
  5. Step 5: Solve for x
    x = 3,258,527.29/2,664.36
  6. Step 6: Final answer
    x = 1,223.01

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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.