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Finding the Fourth Proportional to 2,613.06, 3,920.45 and 969.75

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Solution

The fourth proportional to 2,613.06, 3,920.45 and 969.75 is: 1,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.06 : 3,920.45 = 969.75 : x
  2. Step 2: Convert to fraction form
    2,613.06/3,920.45 = 969.75/x
  3. Step 3: Cross multiply
    2,613.06x = 3,920.45 × 969.75
  4. Step 4: Simplify right side
    2,613.06x = 3,801,851.54
  5. Step 5: Solve for x
    x = 3,801,851.54/2,613.06
  6. Step 6: Final answer
    x = 1,454.94

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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.