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Finding the Fourth Proportional to 1,766.13, 2,645.97 and 827.35

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Solution

The fourth proportional to 1,766.13, 2,645.97 and 827.35 is: 1,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.13 : 2,645.97 = 827.35 : x
  2. Step 2: Convert to fraction form
    1,766.13/2,645.97 = 827.35/x
  3. Step 3: Cross multiply
    1,766.13x = 2,645.97 × 827.35
  4. Step 4: Simplify right side
    1,766.13x = 2,189,143.48
  5. Step 5: Solve for x
    x = 2,189,143.48/1,766.13
  6. Step 6: Final answer
    x = 1,239.51

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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.