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Finding the Fourth Proportional to 7,216.48, 10,821.48 and 3,322

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Solution

The fourth proportional to 7,216.48, 10,821.48 and 3,322 is: 4,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.48 : 10,821.48 = 3,322 : x
  2. Step 2: Convert to fraction form
    7,216.48/10,821.48 = 3,322/x
  3. Step 3: Cross multiply
    7,216.48x = 10,821.48 × 3,322
  4. Step 4: Simplify right side
    7,216.48x = 35,948,956.56
  5. Step 5: Solve for x
    x = 35,948,956.56/7,216.48
  6. Step 6: Final answer
    x = 4,981.51

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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.