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Finding the Fourth Proportional to 16,171, 24,243.36 and 7,279.80

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Solution

The fourth proportional to 16,171, 24,243.36 and 7,279.80 is: 10,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171 : 24,243.36 = 7,279.80 : x
  2. Step 2: Convert to fraction form
    16,171/24,243.36 = 7,279.80/x
  3. Step 3: Cross multiply
    16,171x = 24,243.36 × 7,279.80
  4. Step 4: Simplify right side
    16,171x = 176,486,812.13
  5. Step 5: Solve for x
    x = 176,486,812.13/16,171
  6. Step 6: Final answer
    x = 10,913.78

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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.