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Finding the Fourth Proportional to 11,772.80, 17,660.08 and 3,981.60

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Solution

The fourth proportional to 11,772.80, 17,660.08 and 3,981.60 is: 5,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.80 : 17,660.08 = 3,981.60 : x
  2. Step 2: Convert to fraction form
    11,772.80/17,660.08 = 3,981.60/x
  3. Step 3: Cross multiply
    11,772.80x = 17,660.08 × 3,981.60
  4. Step 4: Simplify right side
    11,772.80x = 70,315,374.53
  5. Step 5: Solve for x
    x = 70,315,374.53/11,772.80
  6. Step 6: Final answer
    x = 5,972.70

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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.