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Finding the Fourth Proportional to 2,326.20, 3,489.80 and 766.33

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Solution

The fourth proportional to 2,326.20, 3,489.80 and 766.33 is: 1,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.20 : 3,489.80 = 766.33 : x
  2. Step 2: Convert to fraction form
    2,326.20/3,489.80 = 766.33/x
  3. Step 3: Cross multiply
    2,326.20x = 3,489.80 × 766.33
  4. Step 4: Simplify right side
    2,326.20x = 2,674,338.43
  5. Step 5: Solve for x
    x = 2,674,338.43/2,326.20
  6. Step 6: Final answer
    x = 1,149.66

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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.