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Finding the Fourth Proportional to 19,894, 29,819.14 and 8,200.84

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Solution

The fourth proportional to 19,894, 29,819.14 and 8,200.84 is: 12,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894 : 29,819.14 = 8,200.84 : x
  2. Step 2: Convert to fraction form
    19,894/29,819.14 = 8,200.84/x
  3. Step 3: Cross multiply
    19,894x = 29,819.14 × 8,200.84
  4. Step 4: Simplify right side
    19,894x = 244,541,996.08
  5. Step 5: Solve for x
    x = 244,541,996.08/19,894
  6. Step 6: Final answer
    x = 12,292.25

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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.