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Finding the Fourth Proportional to 38,408, 57,634.68 and 16,219.94

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Solution

The fourth proportional to 38,408, 57,634.68 and 16,219.94 is: 24,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408 : 57,634.68 = 16,219.94 : x
  2. Step 2: Convert to fraction form
    38,408/57,634.68 = 16,219.94/x
  3. Step 3: Cross multiply
    38,408x = 57,634.68 × 16,219.94
  4. Step 4: Simplify right side
    38,408x = 934,831,051.52
  5. Step 5: Solve for x
    x = 934,831,051.52/38,408
  6. Step 6: Final answer
    x = 24,339.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.