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Finding the Fourth Proportional to 20,680.52, 31,015.31 and 8,991

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Solution

The fourth proportional to 20,680.52, 31,015.31 and 8,991 is: 13,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680.52 : 31,015.31 = 8,991 : x
  2. Step 2: Convert to fraction form
    20,680.52/31,015.31 = 8,991/x
  3. Step 3: Cross multiply
    20,680.52x = 31,015.31 × 8,991
  4. Step 4: Simplify right side
    20,680.52x = 278,858,607.26
  5. Step 5: Solve for x
    x = 278,858,607.26/20,680.52
  6. Step 6: Final answer
    x = 13,484.12

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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.