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Finding the Fourth Proportional to 13,982.67, 20,978.42 and 6,586.83

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Solution

The fourth proportional to 13,982.67, 20,978.42 and 6,586.83 is: 9,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.67 : 20,978.42 = 6,586.83 : x
  2. Step 2: Convert to fraction form
    13,982.67/20,978.42 = 6,586.83/x
  3. Step 3: Cross multiply
    13,982.67x = 20,978.42 × 6,586.83
  4. Step 4: Simplify right side
    13,982.67x = 138,181,253.27
  5. Step 5: Solve for x
    x = 138,181,253.27/13,982.67
  6. Step 6: Final answer
    x = 9,882.32

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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.