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Finding the Fourth Proportional to 32,990, 49,487.88 and 8,366

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Solution

The fourth proportional to 32,990, 49,487.88 and 8,366 is: 12,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990 : 49,487.88 = 8,366 : x
  2. Step 2: Convert to fraction form
    32,990/49,487.88 = 8,366/x
  3. Step 3: Cross multiply
    32,990x = 49,487.88 × 8,366
  4. Step 4: Simplify right side
    32,990x = 414,015,604.08
  5. Step 5: Solve for x
    x = 414,015,604.08/32,990
  6. Step 6: Final answer
    x = 12,549.73

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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.