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Finding the Fourth Proportional to 2,516.39, 3,774.49 and 667.51

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Solution

The fourth proportional to 2,516.39, 3,774.49 and 667.51 is: 1,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.39 : 3,774.49 = 667.51 : x
  2. Step 2: Convert to fraction form
    2,516.39/3,774.49 = 667.51/x
  3. Step 3: Cross multiply
    2,516.39x = 3,774.49 × 667.51
  4. Step 4: Simplify right side
    2,516.39x = 2,519,509.82
  5. Step 5: Solve for x
    x = 2,519,509.82/2,516.39
  6. Step 6: Final answer
    x = 1,001.24

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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.