Home / 6,510-9,766.82-2,617.14

Finding the Fourth Proportional to 6,510, 9,766.82 and 2,617.14

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Solution

The fourth proportional to 6,510, 9,766.82 and 2,617.14 is: 3,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510 : 9,766.82 = 2,617.14 : x
  2. Step 2: Convert to fraction form
    6,510/9,766.82 = 2,617.14/x
  3. Step 3: Cross multiply
    6,510x = 9,766.82 × 2,617.14
  4. Step 4: Simplify right side
    6,510x = 25,561,135.29
  5. Step 5: Solve for x
    x = 25,561,135.29/6,510
  6. Step 6: Final answer
    x = 3,926.44

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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.