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Finding the Fourth Proportional to 20,799, 28,702.71 and 11,367.54

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Solution

The fourth proportional to 20,799, 28,702.71 and 11,367.54 is: 15,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,799 : 28,702.71 = 11,367.54 : x
  2. Step 2: Convert to fraction form
    20,799/28,702.71 = 11,367.54/x
  3. Step 3: Cross multiply
    20,799x = 28,702.71 × 11,367.54
  4. Step 4: Simplify right side
    20,799x = 326,279,204.03
  5. Step 5: Solve for x
    x = 326,279,204.03/20,799
  6. Step 6: Final answer
    x = 15,687.25

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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.