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Finding the Fourth Proportional to 7,786, 10,745.67 and 5,138.92

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Solution

The fourth proportional to 7,786, 10,745.67 and 5,138.92 is: 7,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 10,745.67 = 5,138.92 : x
  2. Step 2: Convert to fraction form
    7,786/10,745.67 = 5,138.92/x
  3. Step 3: Cross multiply
    7,786x = 10,745.67 × 5,138.92
  4. Step 4: Simplify right side
    7,786x = 55,221,138.48
  5. Step 5: Solve for x
    x = 55,221,138.48/7,786
  6. Step 6: Final answer
    x = 7,092.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.