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Finding the Fourth Proportional to 8,661.76, 12,994 and 3,732.80

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Solution

The fourth proportional to 8,661.76, 12,994 and 3,732.80 is: 5,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.76 : 12,994 = 3,732.80 : x
  2. Step 2: Convert to fraction form
    8,661.76/12,994 = 3,732.80/x
  3. Step 3: Cross multiply
    8,661.76x = 12,994 × 3,732.80
  4. Step 4: Simplify right side
    8,661.76x = 48,504,003.20
  5. Step 5: Solve for x
    x = 48,504,003.20/8,661.76
  6. Step 6: Final answer
    x = 5,599.79

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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.