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Finding the Fourth Proportional to 19,838.78, 29,780.04 and 9,975.41

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Solution

The fourth proportional to 19,838.78, 29,780.04 and 9,975.41 is: 14,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.78 : 29,780.04 = 9,975.41 : x
  2. Step 2: Convert to fraction form
    19,838.78/29,780.04 = 9,975.41/x
  3. Step 3: Cross multiply
    19,838.78x = 29,780.04 × 9,975.41
  4. Step 4: Simplify right side
    19,838.78x = 297,067,959.92
  5. Step 5: Solve for x
    x = 297,067,959.92/19,838.78
  6. Step 6: Final answer
    x = 14,974.11

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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.