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Finding the Fourth Proportional to 8,726.94, 13,091.22 and 3,180.87

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Solution

The fourth proportional to 8,726.94, 13,091.22 and 3,180.87 is: 4,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.94 : 13,091.22 = 3,180.87 : x
  2. Step 2: Convert to fraction form
    8,726.94/13,091.22 = 3,180.87/x
  3. Step 3: Cross multiply
    8,726.94x = 13,091.22 × 3,180.87
  4. Step 4: Simplify right side
    8,726.94x = 41,641,468.96
  5. Step 5: Solve for x
    x = 41,641,468.96/8,726.94
  6. Step 6: Final answer
    x = 4,771.60

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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.