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Finding the Fourth Proportional to 19,321.24, 28,978.62 and 5,467

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Solution

The fourth proportional to 19,321.24, 28,978.62 and 5,467 is: 8,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321.24 : 28,978.62 = 5,467 : x
  2. Step 2: Convert to fraction form
    19,321.24/28,978.62 = 5,467/x
  3. Step 3: Cross multiply
    19,321.24x = 28,978.62 × 5,467
  4. Step 4: Simplify right side
    19,321.24x = 158,426,115.54
  5. Step 5: Solve for x
    x = 158,426,115.54/19,321.24
  6. Step 6: Final answer
    x = 8,199.58

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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.