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Finding the Fourth Proportional to 26,217, 39,331.98 and 7,749

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Solution

The fourth proportional to 26,217, 39,331.98 and 7,749 is: 11,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,217 : 39,331.98 = 7,749 : x
  2. Step 2: Convert to fraction form
    26,217/39,331.98 = 7,749/x
  3. Step 3: Cross multiply
    26,217x = 39,331.98 × 7,749
  4. Step 4: Simplify right side
    26,217x = 304,783,513.02
  5. Step 5: Solve for x
    x = 304,783,513.02/26,217
  6. Step 6: Final answer
    x = 11,625.42

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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.