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Finding the Fourth Proportional to 15,196.50, 20,974.67 and 8,910.90

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Solution

The fourth proportional to 15,196.50, 20,974.67 and 8,910.90 is: 12,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.50 : 20,974.67 = 8,910.90 : x
  2. Step 2: Convert to fraction form
    15,196.50/20,974.67 = 8,910.90/x
  3. Step 3: Cross multiply
    15,196.50x = 20,974.67 × 8,910.90
  4. Step 4: Simplify right side
    15,196.50x = 186,903,304.54
  5. Step 5: Solve for x
    x = 186,903,304.54/15,196.50
  6. Step 6: Final answer
    x = 12,299.10

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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.