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Finding the Fourth Proportional to 38,408.69, 53,004.20 and 21,414

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Solution

The fourth proportional to 38,408.69, 53,004.20 and 21,414 is: 29,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.69 : 53,004.20 = 21,414 : x
  2. Step 2: Convert to fraction form
    38,408.69/53,004.20 = 21,414/x
  3. Step 3: Cross multiply
    38,408.69x = 53,004.20 × 21,414
  4. Step 4: Simplify right side
    38,408.69x = 1,135,031,831.73
  5. Step 5: Solve for x
    x = 1,135,031,831.73/38,408.69
  6. Step 6: Final answer
    x = 29,551.44

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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.