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Finding the Fourth Proportional to 7,786, 11,679 and 2,592.28

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Solution

The fourth proportional to 7,786, 11,679 and 2,592.28 is: 3,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 11,679 = 2,592.28 : x
  2. Step 2: Convert to fraction form
    7,786/11,679 = 2,592.28/x
  3. Step 3: Cross multiply
    7,786x = 11,679 × 2,592.28
  4. Step 4: Simplify right side
    7,786x = 30,275,238.12
  5. Step 5: Solve for x
    x = 30,275,238.12/7,786
  6. Step 6: Final answer
    x = 3,888.42

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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.