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Finding the Fourth Proportional to 13,786, 20,652.78 and 7,867

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Solution

The fourth proportional to 13,786, 20,652.78 and 7,867 is: 11,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786 : 20,652.78 = 7,867 : x
  2. Step 2: Convert to fraction form
    13,786/20,652.78 = 7,867/x
  3. Step 3: Cross multiply
    13,786x = 20,652.78 × 7,867
  4. Step 4: Simplify right side
    13,786x = 162,475,420.26
  5. Step 5: Solve for x
    x = 162,475,420.26/13,786
  6. Step 6: Final answer
    x = 11,785.54

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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.