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Finding the Fourth Proportional to 21,609.77, 32,414.04 and 11,811.11

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Solution

The fourth proportional to 21,609.77, 32,414.04 and 11,811.11 is: 17,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609.77 : 32,414.04 = 11,811.11 : x
  2. Step 2: Convert to fraction form
    21,609.77/32,414.04 = 11,811.11/x
  3. Step 3: Cross multiply
    21,609.77x = 32,414.04 × 11,811.11
  4. Step 4: Simplify right side
    21,609.77x = 382,845,873.02
  5. Step 5: Solve for x
    x = 382,845,873.02/21,609.77
  6. Step 6: Final answer
    x = 17,716.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.