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Finding the Fourth Proportional to 38,406, 57,631.68 and 16,217.94

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Solution

The fourth proportional to 38,406, 57,631.68 and 16,217.94 is: 24,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406 : 57,631.68 = 16,217.94 : x
  2. Step 2: Convert to fraction form
    38,406/57,631.68 = 16,217.94/x
  3. Step 3: Cross multiply
    38,406x = 57,631.68 × 16,217.94
  4. Step 4: Simplify right side
    38,406x = 934,667,128.34
  5. Step 5: Solve for x
    x = 934,667,128.34/38,406
  6. Step 6: Final answer
    x = 24,336.49

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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.