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Finding the Fourth Proportional to 2,659.79, 3,990.56 and 811.26

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Solution

The fourth proportional to 2,659.79, 3,990.56 and 811.26 is: 1,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.79 : 3,990.56 = 811.26 : x
  2. Step 2: Convert to fraction form
    2,659.79/3,990.56 = 811.26/x
  3. Step 3: Cross multiply
    2,659.79x = 3,990.56 × 811.26
  4. Step 4: Simplify right side
    2,659.79x = 3,237,377.65
  5. Step 5: Solve for x
    x = 3,237,377.65/2,659.79
  6. Step 6: Final answer
    x = 1,217.15

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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.