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Finding the Fourth Proportional to 6,648.81, 9,953.88 and 3,867

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Solution

The fourth proportional to 6,648.81, 9,953.88 and 3,867 is: 5,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.81 : 9,953.88 = 3,867 : x
  2. Step 2: Convert to fraction form
    6,648.81/9,953.88 = 3,867/x
  3. Step 3: Cross multiply
    6,648.81x = 9,953.88 × 3,867
  4. Step 4: Simplify right side
    6,648.81x = 38,491,653.96
  5. Step 5: Solve for x
    x = 38,491,653.96/6,648.81
  6. Step 6: Final answer
    x = 5,789.25

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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.