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Finding the Fourth Proportional to 21,344, 29,408.08 and 15,944

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Solution

The fourth proportional to 21,344, 29,408.08 and 15,944 is: 21,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344 : 29,408.08 = 15,944 : x
  2. Step 2: Convert to fraction form
    21,344/29,408.08 = 15,944/x
  3. Step 3: Cross multiply
    21,344x = 29,408.08 × 15,944
  4. Step 4: Simplify right side
    21,344x = 468,882,427.52
  5. Step 5: Solve for x
    x = 468,882,427.52/21,344
  6. Step 6: Final answer
    x = 21,967.88

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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.