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Finding the Fourth Proportional to 6,480.78, 9,721.10 and 2,969.79

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Solution

The fourth proportional to 6,480.78, 9,721.10 and 2,969.79 is: 4,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.78 : 9,721.10 = 2,969.79 : x
  2. Step 2: Convert to fraction form
    6,480.78/9,721.10 = 2,969.79/x
  3. Step 3: Cross multiply
    6,480.78x = 9,721.10 × 2,969.79
  4. Step 4: Simplify right side
    6,480.78x = 28,869,625.57
  5. Step 5: Solve for x
    x = 28,869,625.57/6,480.78
  6. Step 6: Final answer
    x = 4,454.65

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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.