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Finding the Fourth Proportional to 20,694, 28,557.72 and 11,862

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Solution

The fourth proportional to 20,694, 28,557.72 and 11,862 is: 16,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694 : 28,557.72 = 11,862 : x
  2. Step 2: Convert to fraction form
    20,694/28,557.72 = 11,862/x
  3. Step 3: Cross multiply
    20,694x = 28,557.72 × 11,862
  4. Step 4: Simplify right side
    20,694x = 338,751,674.64
  5. Step 5: Solve for x
    x = 338,751,674.64/20,694
  6. Step 6: Final answer
    x = 16,369.56

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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.