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Finding the Fourth Proportional to 4,489.78, 6,734.70 and 1,568.09

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Solution

The fourth proportional to 4,489.78, 6,734.70 and 1,568.09 is: 2,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.78 : 6,734.70 = 1,568.09 : x
  2. Step 2: Convert to fraction form
    4,489.78/6,734.70 = 1,568.09/x
  3. Step 3: Cross multiply
    4,489.78x = 6,734.70 × 1,568.09
  4. Step 4: Simplify right side
    4,489.78x = 10,560,615.72
  5. Step 5: Solve for x
    x = 10,560,615.72/4,489.78
  6. Step 6: Final answer
    x = 2,352.15

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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.