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Finding the Fourth Proportional to 29,171.57, 43,749.86 and 8,106.71

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Solution

The fourth proportional to 29,171.57, 43,749.86 and 8,106.71 is: 12,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,171.57 : 43,749.86 = 8,106.71 : x
  2. Step 2: Convert to fraction form
    29,171.57/43,749.86 = 8,106.71/x
  3. Step 3: Cross multiply
    29,171.57x = 43,749.86 × 8,106.71
  4. Step 4: Simplify right side
    29,171.57x = 354,667,168.28
  5. Step 5: Solve for x
    x = 354,667,168.28/29,171.57
  6. Step 6: Final answer
    x = 12,157.98

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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.