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Finding the Fourth Proportional to 3,309.65, 4,965.20 and 969.71

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Solution

The fourth proportional to 3,309.65, 4,965.20 and 969.71 is: 1,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.65 : 4,965.20 = 969.71 : x
  2. Step 2: Convert to fraction form
    3,309.65/4,965.20 = 969.71/x
  3. Step 3: Cross multiply
    3,309.65x = 4,965.20 × 969.71
  4. Step 4: Simplify right side
    3,309.65x = 4,814,804.09
  5. Step 5: Solve for x
    x = 4,814,804.09/3,309.65
  6. Step 6: Final answer
    x = 1,454.78

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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.