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Finding the Fourth Proportional to 11,772.88, 17,658.24 and 3,981.76

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Solution

The fourth proportional to 11,772.88, 17,658.24 and 3,981.76 is: 5,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.88 : 17,658.24 = 3,981.76 : x
  2. Step 2: Convert to fraction form
    11,772.88/17,658.24 = 3,981.76/x
  3. Step 3: Cross multiply
    11,772.88x = 17,658.24 × 3,981.76
  4. Step 4: Simplify right side
    11,772.88x = 70,310,873.70
  5. Step 5: Solve for x
    x = 70,310,873.70/11,772.88
  6. Step 6: Final answer
    x = 5,972.27

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1.5x scale

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.