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Finding the Fourth Proportional to 2,606.97, 3,909.18 and 851.65

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Solution

The fourth proportional to 2,606.97, 3,909.18 and 851.65 is: 1,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.97 : 3,909.18 = 851.65 : x
  2. Step 2: Convert to fraction form
    2,606.97/3,909.18 = 851.65/x
  3. Step 3: Cross multiply
    2,606.97x = 3,909.18 × 851.65
  4. Step 4: Simplify right side
    2,606.97x = 3,329,245.00
  5. Step 5: Solve for x
    x = 3,329,245.00/2,606.97
  6. Step 6: Final answer
    x = 1,277.05

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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.