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Finding the Fourth Proportional to 20,807.25, 28,714.01 and 11,375.88

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Solution

The fourth proportional to 20,807.25, 28,714.01 and 11,375.88 is: 15,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.25 : 28,714.01 = 11,375.88 : x
  2. Step 2: Convert to fraction form
    20,807.25/28,714.01 = 11,375.88/x
  3. Step 3: Cross multiply
    20,807.25x = 28,714.01 × 11,375.88
  4. Step 4: Simplify right side
    20,807.25x = 326,647,075.20
  5. Step 5: Solve for x
    x = 326,647,075.20/20,807.25
  6. Step 6: Final answer
    x = 15,698.71

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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.