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Finding the Fourth Proportional to 3,894.75, 5,372.60 and 2,548.49

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Solution

The fourth proportional to 3,894.75, 5,372.60 and 2,548.49 is: 3,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.75 : 5,372.60 = 2,548.49 : x
  2. Step 2: Convert to fraction form
    3,894.75/5,372.60 = 2,548.49/x
  3. Step 3: Cross multiply
    3,894.75x = 5,372.60 × 2,548.49
  4. Step 4: Simplify right side
    3,894.75x = 13,691,977.77
  5. Step 5: Solve for x
    x = 13,691,977.77/3,894.75
  6. Step 6: Final answer
    x = 3,515.50

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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.