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Finding the Fourth Proportional to 28,857, 39,822.74 and 15,609

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Solution

The fourth proportional to 28,857, 39,822.74 and 15,609 is: 21,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857 : 39,822.74 = 15,609 : x
  2. Step 2: Convert to fraction form
    28,857/39,822.74 = 15,609/x
  3. Step 3: Cross multiply
    28,857x = 39,822.74 × 15,609
  4. Step 4: Simplify right side
    28,857x = 621,593,148.66
  5. Step 5: Solve for x
    x = 621,593,148.66/28,857
  6. Step 6: Final answer
    x = 21,540.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.