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Finding the Fourth Proportional to 8,544, 12,816.48 and 2,388.48

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Solution

The fourth proportional to 8,544, 12,816.48 and 2,388.48 is: 3,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544 : 12,816.48 = 2,388.48 : x
  2. Step 2: Convert to fraction form
    8,544/12,816.48 = 2,388.48/x
  3. Step 3: Cross multiply
    8,544x = 12,816.48 × 2,388.48
  4. Step 4: Simplify right side
    8,544x = 30,611,906.15
  5. Step 5: Solve for x
    x = 30,611,906.15/8,544
  6. Step 6: Final answer
    x = 3,582.85

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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.