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Finding the Fourth Proportional to 3,165.78, 4,745.54 and 2,725.50

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Solution

The fourth proportional to 3,165.78, 4,745.54 and 2,725.50 is: 4,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.78 : 4,745.54 = 2,725.50 : x
  2. Step 2: Convert to fraction form
    3,165.78/4,745.54 = 2,725.50/x
  3. Step 3: Cross multiply
    3,165.78x = 4,745.54 × 2,725.50
  4. Step 4: Simplify right side
    3,165.78x = 12,933,969.27
  5. Step 5: Solve for x
    x = 12,933,969.27/3,165.78
  6. Step 6: Final answer
    x = 4,085.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.