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Finding the Fourth Proportional to 33,408, 46,103.04 and 20,160

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Solution

The fourth proportional to 33,408, 46,103.04 and 20,160 is: 27,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408 : 46,103.04 = 20,160 : x
  2. Step 2: Convert to fraction form
    33,408/46,103.04 = 20,160/x
  3. Step 3: Cross multiply
    33,408x = 46,103.04 × 20,160
  4. Step 4: Simplify right side
    33,408x = 929,437,286.40
  5. Step 5: Solve for x
    x = 929,437,286.40/33,408
  6. Step 6: Final answer
    x = 27,820.80

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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.