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Finding the Fourth Proportional to 19,891.93, 29,851.31 and 8,204.89

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Solution

The fourth proportional to 19,891.93, 29,851.31 and 8,204.89 is: 12,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.93 : 29,851.31 = 8,204.89 : x
  2. Step 2: Convert to fraction form
    19,891.93/29,851.31 = 8,204.89/x
  3. Step 3: Cross multiply
    19,891.93x = 29,851.31 × 8,204.89
  4. Step 4: Simplify right side
    19,891.93x = 244,926,524.62
  5. Step 5: Solve for x
    x = 244,926,524.62/19,891.93
  6. Step 6: Final answer
    x = 12,312.86

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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.