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Finding the Fourth Proportional to 38,517.76, 57,786.36 and 10,815.76

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Solution

The fourth proportional to 38,517.76, 57,786.36 and 10,815.76 is: 16,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517.76 : 57,786.36 = 10,815.76 : x
  2. Step 2: Convert to fraction form
    38,517.76/57,786.36 = 10,815.76/x
  3. Step 3: Cross multiply
    38,517.76x = 57,786.36 × 10,815.76
  4. Step 4: Simplify right side
    38,517.76x = 625,003,401.03
  5. Step 5: Solve for x
    x = 625,003,401.03/38,517.76
  6. Step 6: Final answer
    x = 16,226.37

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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.