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Finding the Fourth Proportional to 13,857.90, 20,780.04 and 7,933.89

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Solution

The fourth proportional to 13,857.90, 20,780.04 and 7,933.89 is: 11,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.90 : 20,780.04 = 7,933.89 : x
  2. Step 2: Convert to fraction form
    13,857.90/20,780.04 = 7,933.89/x
  3. Step 3: Cross multiply
    13,857.90x = 20,780.04 × 7,933.89
  4. Step 4: Simplify right side
    13,857.90x = 164,866,551.56
  5. Step 5: Solve for x
    x = 164,866,551.56/13,857.90
  6. Step 6: Final answer
    x = 11,896.94

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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.