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Finding the Fourth Proportional to 7,795, 11,692.89 and 2,601.28

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Solution

The fourth proportional to 7,795, 11,692.89 and 2,601.28 is: 3,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795 : 11,692.89 = 2,601.28 : x
  2. Step 2: Convert to fraction form
    7,795/11,692.89 = 2,601.28/x
  3. Step 3: Cross multiply
    7,795x = 11,692.89 × 2,601.28
  4. Step 4: Simplify right side
    7,795x = 30,416,480.90
  5. Step 5: Solve for x
    x = 30,416,480.90/7,795
  6. Step 6: Final answer
    x = 3,902.05

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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.