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Finding the Fourth Proportional to 6,315.75, 8,716.49 and 3,799.16

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Solution

The fourth proportional to 6,315.75, 8,716.49 and 3,799.16 is: 5,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.75 : 8,716.49 = 3,799.16 : x
  2. Step 2: Convert to fraction form
    6,315.75/8,716.49 = 3,799.16/x
  3. Step 3: Cross multiply
    6,315.75x = 8,716.49 × 3,799.16
  4. Step 4: Simplify right side
    6,315.75x = 33,115,277.57
  5. Step 5: Solve for x
    x = 33,115,277.57/6,315.75
  6. Step 6: Final answer
    x = 5,243.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.