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Finding the Fourth Proportional to 28,850, 39,813 and 16,274.48

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Solution

The fourth proportional to 28,850, 39,813 and 16,274.48 is: 22,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,850 : 39,813 = 16,274.48 : x
  2. Step 2: Convert to fraction form
    28,850/39,813 = 16,274.48/x
  3. Step 3: Cross multiply
    28,850x = 39,813 × 16,274.48
  4. Step 4: Simplify right side
    28,850x = 647,935,872.24
  5. Step 5: Solve for x
    x = 647,935,872.24/28,850
  6. Step 6: Final answer
    x = 22,458.78

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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.