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Finding the Fourth Proportional to 7,769.50, 11,646.11 and 3,385.78

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Solution

The fourth proportional to 7,769.50, 11,646.11 and 3,385.78 is: 5,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.50 : 11,646.11 = 3,385.78 : x
  2. Step 2: Convert to fraction form
    7,769.50/11,646.11 = 3,385.78/x
  3. Step 3: Cross multiply
    7,769.50x = 11,646.11 × 3,385.78
  4. Step 4: Simplify right side
    7,769.50x = 39,431,145.66
  5. Step 5: Solve for x
    x = 39,431,145.66/7,769.50
  6. Step 6: Final answer
    x = 5,075.12

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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.