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Finding the Fourth Proportional to 19,214, 28,821.24 and 6,902

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Solution

The fourth proportional to 19,214, 28,821.24 and 6,902 is: 10,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214 : 28,821.24 = 6,902 : x
  2. Step 2: Convert to fraction form
    19,214/28,821.24 = 6,902/x
  3. Step 3: Cross multiply
    19,214x = 28,821.24 × 6,902
  4. Step 4: Simplify right side
    19,214x = 198,924,198.48
  5. Step 5: Solve for x
    x = 198,924,198.48/19,214
  6. Step 6: Final answer
    x = 10,353.09

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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.