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Finding the Fourth Proportional to 6,660.86, 9,984.07 and 3,286

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Solution

The fourth proportional to 6,660.86, 9,984.07 and 3,286 is: 4,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.86 : 9,984.07 = 3,286 : x
  2. Step 2: Convert to fraction form
    6,660.86/9,984.07 = 3,286/x
  3. Step 3: Cross multiply
    6,660.86x = 9,984.07 × 3,286
  4. Step 4: Simplify right side
    6,660.86x = 32,807,654.02
  5. Step 5: Solve for x
    x = 32,807,654.02/6,660.86
  6. Step 6: Final answer
    x = 4,925.44

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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.