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Finding the Fourth Proportional to 13,918.21, 20,872.14 and 6,021.87

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Solution

The fourth proportional to 13,918.21, 20,872.14 and 6,021.87 is: 9,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.21 : 20,872.14 = 6,021.87 : x
  2. Step 2: Convert to fraction form
    13,918.21/20,872.14 = 6,021.87/x
  3. Step 3: Cross multiply
    13,918.21x = 20,872.14 × 6,021.87
  4. Step 4: Simplify right side
    13,918.21x = 125,689,212.85
  5. Step 5: Solve for x
    x = 125,689,212.85/13,918.21
  6. Step 6: Final answer
    x = 9,030.56

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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.