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Finding the Fourth Proportional to 28,323, 42,504 and 9,855

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Solution

The fourth proportional to 28,323, 42,504 and 9,855 is: 14,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,323 : 42,504 = 9,855 : x
  2. Step 2: Convert to fraction form
    28,323/42,504 = 9,855/x
  3. Step 3: Cross multiply
    28,323x = 42,504 × 9,855
  4. Step 4: Simplify right side
    28,323x = 418,876,920
  5. Step 5: Solve for x
    x = 418,876,920/28,323
  6. Step 6: Final answer
    x = 14,789.29

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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.