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Finding the Fourth Proportional to 13,778.51, 20,671.01 and 3,917.87

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Solution

The fourth proportional to 13,778.51, 20,671.01 and 3,917.87 is: 5,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.51 : 20,671.01 = 3,917.87 : x
  2. Step 2: Convert to fraction form
    13,778.51/20,671.01 = 3,917.87/x
  3. Step 3: Cross multiply
    13,778.51x = 20,671.01 × 3,917.87
  4. Step 4: Simplify right side
    13,778.51x = 80,986,376.73
  5. Step 5: Solve for x
    x = 80,986,376.73/13,778.51
  6. Step 6: Final answer
    x = 5,877.73

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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.