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Finding the Fourth Proportional to 13,908.44, 20,868.00 and 8,365.71

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Solution

The fourth proportional to 13,908.44, 20,868.00 and 8,365.71 is: 12,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.44 : 20,868.00 = 8,365.71 : x
  2. Step 2: Convert to fraction form
    13,908.44/20,868.00 = 8,365.71/x
  3. Step 3: Cross multiply
    13,908.44x = 20,868.00 × 8,365.71
  4. Step 4: Simplify right side
    13,908.44x = 174,575,683.16
  5. Step 5: Solve for x
    x = 174,575,683.16/13,908.44
  6. Step 6: Final answer
    x = 12,551.78

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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.