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Finding the Fourth Proportional to 2,649, 3,653.64 and 2,231.64

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Solution

The fourth proportional to 2,649, 3,653.64 and 2,231.64 is: 3,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649 : 3,653.64 = 2,231.64 : x
  2. Step 2: Convert to fraction form
    2,649/3,653.64 = 2,231.64/x
  3. Step 3: Cross multiply
    2,649x = 3,653.64 × 2,231.64
  4. Step 4: Simplify right side
    2,649x = 8,153,609.17
  5. Step 5: Solve for x
    x = 8,153,609.17/2,649
  6. Step 6: Final answer
    x = 3,078.00

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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.