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Finding the Fourth Proportional to 20,468.66, 30,701.60 and 7,986.38

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Solution

The fourth proportional to 20,468.66, 30,701.60 and 7,986.38 is: 11,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.66 : 30,701.60 = 7,986.38 : x
  2. Step 2: Convert to fraction form
    20,468.66/30,701.60 = 7,986.38/x
  3. Step 3: Cross multiply
    20,468.66x = 30,701.60 × 7,986.38
  4. Step 4: Simplify right side
    20,468.66x = 245,194,644.21
  5. Step 5: Solve for x
    x = 245,194,644.21/20,468.66
  6. Step 6: Final answer
    x = 11,979.03

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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.