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Finding the Fourth Proportional to 19,845, 29,767.50 and 8,901

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Solution

The fourth proportional to 19,845, 29,767.50 and 8,901 is: 13,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 29,767.50 = 8,901 : x
  2. Step 2: Convert to fraction form
    19,845/29,767.50 = 8,901/x
  3. Step 3: Cross multiply
    19,845x = 29,767.50 × 8,901
  4. Step 4: Simplify right side
    19,845x = 264,960,517.50
  5. Step 5: Solve for x
    x = 264,960,517.50/19,845
  6. Step 6: Final answer
    x = 13,351.50

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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.