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Finding the Fourth Proportional to 6,410.55, 9,615.14 and 2,250.69

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Solution

The fourth proportional to 6,410.55, 9,615.14 and 2,250.69 is: 3,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.55 : 9,615.14 = 2,250.69 : x
  2. Step 2: Convert to fraction form
    6,410.55/9,615.14 = 2,250.69/x
  3. Step 3: Cross multiply
    6,410.55x = 9,615.14 × 2,250.69
  4. Step 4: Simplify right side
    6,410.55x = 21,640,688.19
  5. Step 5: Solve for x
    x = 21,640,688.19/6,410.55
  6. Step 6: Final answer
    x = 3,375.79

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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.