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Finding the Fourth Proportional to 6,399.84, 8,829.12 and 3,745.92

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Solution

The fourth proportional to 6,399.84, 8,829.12 and 3,745.92 is: 5,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.84 : 8,829.12 = 3,745.92 : x
  2. Step 2: Convert to fraction form
    6,399.84/8,829.12 = 3,745.92/x
  3. Step 3: Cross multiply
    6,399.84x = 8,829.12 × 3,745.92
  4. Step 4: Simplify right side
    6,399.84x = 33,073,177.19
  5. Step 5: Solve for x
    x = 33,073,177.19/6,399.84
  6. Step 6: Final answer
    x = 5,167.81

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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.