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Finding the Fourth Proportional to 19,889.08, 29,839.54 and 8,203

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Solution

The fourth proportional to 19,889.08, 29,839.54 and 8,203 is: 12,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.08 : 29,839.54 = 8,203 : x
  2. Step 2: Convert to fraction form
    19,889.08/29,839.54 = 8,203/x
  3. Step 3: Cross multiply
    19,889.08x = 29,839.54 × 8,203
  4. Step 4: Simplify right side
    19,889.08x = 244,773,746.62
  5. Step 5: Solve for x
    x = 244,773,746.62/19,889.08
  6. Step 6: Final answer
    x = 12,306.94

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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.