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Finding the Fourth Proportional to 19,216.64, 28,819.80 and 7,367.84

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Solution

The fourth proportional to 19,216.64, 28,819.80 and 7,367.84 is: 11,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216.64 : 28,819.80 = 7,367.84 : x
  2. Step 2: Convert to fraction form
    19,216.64/28,819.80 = 7,367.84/x
  3. Step 3: Cross multiply
    19,216.64x = 28,819.80 × 7,367.84
  4. Step 4: Simplify right side
    19,216.64x = 212,339,675.23
  5. Step 5: Solve for x
    x = 212,339,675.23/19,216.64
  6. Step 6: Final answer
    x = 11,049.78

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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.