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Finding the Fourth Proportional to 21,422.97, 29,572.97 and 16,119.09

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Solution

The fourth proportional to 21,422.97, 29,572.97 and 16,119.09 is: 22,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.97 : 29,572.97 = 16,119.09 : x
  2. Step 2: Convert to fraction form
    21,422.97/29,572.97 = 16,119.09/x
  3. Step 3: Cross multiply
    21,422.97x = 29,572.97 × 16,119.09
  4. Step 4: Simplify right side
    21,422.97x = 476,689,284.40
  5. Step 5: Solve for x
    x = 476,689,284.40/21,422.97
  6. Step 6: Final answer
    x = 22,251.32

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1.5x scale

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.