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Finding the Fourth Proportional to 29,207.78, 43,811.02 and 8,147.26

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Solution

The fourth proportional to 29,207.78, 43,811.02 and 8,147.26 is: 12,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,207.78 : 43,811.02 = 8,147.26 : x
  2. Step 2: Convert to fraction form
    29,207.78/43,811.02 = 8,147.26/x
  3. Step 3: Cross multiply
    29,207.78x = 43,811.02 × 8,147.26
  4. Step 4: Simplify right side
    29,207.78x = 356,939,770.81
  5. Step 5: Solve for x
    x = 356,939,770.81/29,207.78
  6. Step 6: Final answer
    x = 12,220.71

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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.