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Finding the Fourth Proportional to 3,894.72, 5,371.36 and 3,469.92

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Solution

The fourth proportional to 3,894.72, 5,371.36 and 3,469.92 is: 4,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.72 : 5,371.36 = 3,469.92 : x
  2. Step 2: Convert to fraction form
    3,894.72/5,371.36 = 3,469.92/x
  3. Step 3: Cross multiply
    3,894.72x = 5,371.36 × 3,469.92
  4. Step 4: Simplify right side
    3,894.72x = 18,638,189.49
  5. Step 5: Solve for x
    x = 18,638,189.49/3,894.72
  6. Step 6: Final answer
    x = 4,785.50

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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.