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Finding the Fourth Proportional to 28,269, 42,422.94 and 9,801

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Solution

The fourth proportional to 28,269, 42,422.94 and 9,801 is: 14,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,269 : 42,422.94 = 9,801 : x
  2. Step 2: Convert to fraction form
    28,269/42,422.94 = 9,801/x
  3. Step 3: Cross multiply
    28,269x = 42,422.94 × 9,801
  4. Step 4: Simplify right side
    28,269x = 415,787,234.94
  5. Step 5: Solve for x
    x = 415,787,234.94/28,269
  6. Step 6: Final answer
    x = 14,708.24

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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.