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Finding the Fourth Proportional to 3,442.50, 4,748.49 and 2,745.54

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Solution

The fourth proportional to 3,442.50, 4,748.49 and 2,745.54 is: 3,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.50 : 4,748.49 = 2,745.54 : x
  2. Step 2: Convert to fraction form
    3,442.50/4,748.49 = 2,745.54/x
  3. Step 3: Cross multiply
    3,442.50x = 4,748.49 × 2,745.54
  4. Step 4: Simplify right side
    3,442.50x = 13,037,169.23
  5. Step 5: Solve for x
    x = 13,037,169.23/3,442.50
  6. Step 6: Final answer
    x = 3,787.12

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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.