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Finding the Fourth Proportional to 2,516.93, 3,775.70 and 668.09

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Solution

The fourth proportional to 2,516.93, 3,775.70 and 668.09 is: 1,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.93 : 3,775.70 = 668.09 : x
  2. Step 2: Convert to fraction form
    2,516.93/3,775.70 = 668.09/x
  3. Step 3: Cross multiply
    2,516.93x = 3,775.70 × 668.09
  4. Step 4: Simplify right side
    2,516.93x = 2,522,507.41
  5. Step 5: Solve for x
    x = 2,522,507.41/2,516.93
  6. Step 6: Final answer
    x = 1,002.22

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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.