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Finding the Fourth Proportional to 20,871.86, 31,310.72 and 6,081.86

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Solution

The fourth proportional to 20,871.86, 31,310.72 and 6,081.86 is: 9,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.86 : 31,310.72 = 6,081.86 : x
  2. Step 2: Convert to fraction form
    20,871.86/31,310.72 = 6,081.86/x
  3. Step 3: Cross multiply
    20,871.86x = 31,310.72 × 6,081.86
  4. Step 4: Simplify right side
    20,871.86x = 190,427,415.54
  5. Step 5: Solve for x
    x = 190,427,415.54/20,871.86
  6. Step 6: Final answer
    x = 9,123.64

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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.