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Finding the Fourth Proportional to 7,759.64, 11,639.43 and 2,827.26

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Solution

The fourth proportional to 7,759.64, 11,639.43 and 2,827.26 is: 4,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.64 : 11,639.43 = 2,827.26 : x
  2. Step 2: Convert to fraction form
    7,759.64/11,639.43 = 2,827.26/x
  3. Step 3: Cross multiply
    7,759.64x = 11,639.43 × 2,827.26
  4. Step 4: Simplify right side
    7,759.64x = 32,907,705.46
  5. Step 5: Solve for x
    x = 32,907,705.46/7,759.64
  6. Step 6: Final answer
    x = 4,240.88

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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.