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Finding the Fourth Proportional to 6,818, 10,221.82 and 2,660.94

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Solution

The fourth proportional to 6,818, 10,221.82 and 2,660.94 is: 3,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818 : 10,221.82 = 2,660.94 : x
  2. Step 2: Convert to fraction form
    6,818/10,221.82 = 2,660.94/x
  3. Step 3: Cross multiply
    6,818x = 10,221.82 × 2,660.94
  4. Step 4: Simplify right side
    6,818x = 27,199,649.71
  5. Step 5: Solve for x
    x = 27,199,649.71/6,818
  6. Step 6: Final answer
    x = 3,989.39

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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.