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Finding the Fourth Proportional to 13,916.21, 20,877.05 and 5,151.20

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Solution

The fourth proportional to 13,916.21, 20,877.05 and 5,151.20 is: 7,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.21 : 20,877.05 = 5,151.20 : x
  2. Step 2: Convert to fraction form
    13,916.21/20,877.05 = 5,151.20/x
  3. Step 3: Cross multiply
    13,916.21x = 20,877.05 × 5,151.20
  4. Step 4: Simplify right side
    13,916.21x = 107,541,859.96
  5. Step 5: Solve for x
    x = 107,541,859.96/13,916.21
  6. Step 6: Final answer
    x = 7,727.81

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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.