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Finding the Fourth Proportional to 6,512.87, 9,769.76 and 2,617.28

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Solution

The fourth proportional to 6,512.87, 9,769.76 and 2,617.28 is: 3,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.87 : 9,769.76 = 2,617.28 : x
  2. Step 2: Convert to fraction form
    6,512.87/9,769.76 = 2,617.28/x
  3. Step 3: Cross multiply
    6,512.87x = 9,769.76 × 2,617.28
  4. Step 4: Simplify right side
    6,512.87x = 25,570,135.52
  5. Step 5: Solve for x
    x = 25,570,135.52/6,512.87
  6. Step 6: Final answer
    x = 3,926.10

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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.