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Finding the Fourth Proportional to 6,728.90, 10,097.55 and 2,569.28

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Solution

The fourth proportional to 6,728.90, 10,097.55 and 2,569.28 is: 3,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.90 : 10,097.55 = 2,569.28 : x
  2. Step 2: Convert to fraction form
    6,728.90/10,097.55 = 2,569.28/x
  3. Step 3: Cross multiply
    6,728.90x = 10,097.55 × 2,569.28
  4. Step 4: Simplify right side
    6,728.90x = 25,943,382.78
  5. Step 5: Solve for x
    x = 25,943,382.78/6,728.90
  6. Step 6: Final answer
    x = 3,855.52

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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.