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Finding the Fourth Proportional to 21,091.05, 29,104.50 and 11,659

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Solution

The fourth proportional to 21,091.05, 29,104.50 and 11,659 is: 16,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.05 : 29,104.50 = 11,659 : x
  2. Step 2: Convert to fraction form
    21,091.05/29,104.50 = 11,659/x
  3. Step 3: Cross multiply
    21,091.05x = 29,104.50 × 11,659
  4. Step 4: Simplify right side
    21,091.05x = 339,329,365.50
  5. Step 5: Solve for x
    x = 339,329,365.50/21,091.05
  6. Step 6: Final answer
    x = 16,088.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.