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Finding the Fourth Proportional to 26,811.70, 40,209.72 and 10,159.72

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Solution

The fourth proportional to 26,811.70, 40,209.72 and 10,159.72 is: 15,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811.70 : 40,209.72 = 10,159.72 : x
  2. Step 2: Convert to fraction form
    26,811.70/40,209.72 = 10,159.72/x
  3. Step 3: Cross multiply
    26,811.70x = 40,209.72 × 10,159.72
  4. Step 4: Simplify right side
    26,811.70x = 408,519,357.86
  5. Step 5: Solve for x
    x = 408,519,357.86/26,811.70
  6. Step 6: Final answer
    x = 15,236.61

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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.