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Finding the Fourth Proportional to 8,111.70, 12,167.55 and 2,917.98

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Solution

The fourth proportional to 8,111.70, 12,167.55 and 2,917.98 is: 4,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.70 : 12,167.55 = 2,917.98 : x
  2. Step 2: Convert to fraction form
    8,111.70/12,167.55 = 2,917.98/x
  3. Step 3: Cross multiply
    8,111.70x = 12,167.55 × 2,917.98
  4. Step 4: Simplify right side
    8,111.70x = 35,504,667.55
  5. Step 5: Solve for x
    x = 35,504,667.55/8,111.70
  6. Step 6: Final answer
    x = 4,376.97

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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.