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Finding the Fourth Proportional to 8,196.78, 12,295.17 and 2,040.78

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Solution

The fourth proportional to 8,196.78, 12,295.17 and 2,040.78 is: 3,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.78 : 12,295.17 = 2,040.78 : x
  2. Step 2: Convert to fraction form
    8,196.78/12,295.17 = 2,040.78/x
  3. Step 3: Cross multiply
    8,196.78x = 12,295.17 × 2,040.78
  4. Step 4: Simplify right side
    8,196.78x = 25,091,737.03
  5. Step 5: Solve for x
    x = 25,091,737.03/8,196.78
  6. Step 6: Final answer
    x = 3,061.17

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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.