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Finding the Fourth Proportional to 26,381, 39,571.50 and 7,913

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Solution

The fourth proportional to 26,381, 39,571.50 and 7,913 is: 11,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381 : 39,571.50 = 7,913 : x
  2. Step 2: Convert to fraction form
    26,381/39,571.50 = 7,913/x
  3. Step 3: Cross multiply
    26,381x = 39,571.50 × 7,913
  4. Step 4: Simplify right side
    26,381x = 313,129,279.50
  5. Step 5: Solve for x
    x = 313,129,279.50/26,381
  6. Step 6: Final answer
    x = 11,869.50

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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.