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Finding the Fourth Proportional to 38,408, 53,003.06 and 20,744

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Solution

The fourth proportional to 38,408, 53,003.06 and 20,744 is: 28,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408 : 53,003.06 = 20,744 : x
  2. Step 2: Convert to fraction form
    38,408/53,003.06 = 20,744/x
  3. Step 3: Cross multiply
    38,408x = 53,003.06 × 20,744
  4. Step 4: Simplify right side
    38,408x = 1,099,495,476.64
  5. Step 5: Solve for x
    x = 1,099,495,476.64/38,408
  6. Step 6: Final answer
    x = 28,626.73

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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.