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Finding the Fourth Proportional to 8,102.78, 12,153.54 and 3,173.54

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Solution

The fourth proportional to 8,102.78, 12,153.54 and 3,173.54 is: 4,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.78 : 12,153.54 = 3,173.54 : x
  2. Step 2: Convert to fraction form
    8,102.78/12,153.54 = 3,173.54/x
  3. Step 3: Cross multiply
    8,102.78x = 12,153.54 × 3,173.54
  4. Step 4: Simplify right side
    8,102.78x = 38,569,745.33
  5. Step 5: Solve for x
    x = 38,569,745.33/8,102.78
  6. Step 6: Final answer
    x = 4,760.06

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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.