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Finding the Fourth Proportional to 12,176.80, 18,265.20 and 11,447.80

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Solution

The fourth proportional to 12,176.80, 18,265.20 and 11,447.80 is: 17,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.80 : 18,265.20 = 11,447.80 : x
  2. Step 2: Convert to fraction form
    12,176.80/18,265.20 = 11,447.80/x
  3. Step 3: Cross multiply
    12,176.80x = 18,265.20 × 11,447.80
  4. Step 4: Simplify right side
    12,176.80x = 209,096,356.56
  5. Step 5: Solve for x
    x = 209,096,356.56/12,176.80
  6. Step 6: Final answer
    x = 17,171.70

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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.