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Finding the Fourth Proportional to 39,214, 58,821 and 11,512

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Solution

The fourth proportional to 39,214, 58,821 and 11,512 is: 17,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,214 : 58,821 = 11,512 : x
  2. Step 2: Convert to fraction form
    39,214/58,821 = 11,512/x
  3. Step 3: Cross multiply
    39,214x = 58,821 × 11,512
  4. Step 4: Simplify right side
    39,214x = 677,147,352
  5. Step 5: Solve for x
    x = 677,147,352/39,214
  6. Step 6: Final answer
    x = 17,268

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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.