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Finding the Fourth Proportional to 26,129, 39,200.01 and 7,661

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Solution

The fourth proportional to 26,129, 39,200.01 and 7,661 is: 11,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,129 : 39,200.01 = 7,661 : x
  2. Step 2: Convert to fraction form
    26,129/39,200.01 = 7,661/x
  3. Step 3: Cross multiply
    26,129x = 39,200.01 × 7,661
  4. Step 4: Simplify right side
    26,129x = 300,311,276.61
  5. Step 5: Solve for x
    x = 300,311,276.61/26,129
  6. Step 6: Final answer
    x = 11,493.41

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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.