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Finding the Fourth Proportional to 20,071.80, 27,698.30 and 10,997

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Solution

The fourth proportional to 20,071.80, 27,698.30 and 10,997 is: 15,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.80 : 27,698.30 = 10,997 : x
  2. Step 2: Convert to fraction form
    20,071.80/27,698.30 = 10,997/x
  3. Step 3: Cross multiply
    20,071.80x = 27,698.30 × 10,997
  4. Step 4: Simplify right side
    20,071.80x = 304,598,205.10
  5. Step 5: Solve for x
    x = 304,598,205.10/20,071.80
  6. Step 6: Final answer
    x = 15,175.43

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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.