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Finding the Fourth Proportional to 21,047.97, 29,046.14 and 11,616.47

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Solution

The fourth proportional to 21,047.97, 29,046.14 and 11,616.47 is: 16,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.97 : 29,046.14 = 11,616.47 : x
  2. Step 2: Convert to fraction form
    21,047.97/29,046.14 = 11,616.47/x
  3. Step 3: Cross multiply
    21,047.97x = 29,046.14 × 11,616.47
  4. Step 4: Simplify right side
    21,047.97x = 337,413,628.44
  5. Step 5: Solve for x
    x = 337,413,628.44/21,047.97
  6. Step 6: Final answer
    x = 16,030.69

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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.