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Finding the Fourth Proportional to 20,808.56, 31,185.84 and 15,860

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Solution

The fourth proportional to 20,808.56, 31,185.84 and 15,860 is: 23,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.56 : 31,185.84 = 15,860 : x
  2. Step 2: Convert to fraction form
    20,808.56/31,185.84 = 15,860/x
  3. Step 3: Cross multiply
    20,808.56x = 31,185.84 × 15,860
  4. Step 4: Simplify right side
    20,808.56x = 494,607,422.40
  5. Step 5: Solve for x
    x = 494,607,422.40/20,808.56
  6. Step 6: Final answer
    x = 23,769.42

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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.