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Finding the Fourth Proportional to 2,584.51, 3,876.66 and 636.66

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Solution

The fourth proportional to 2,584.51, 3,876.66 and 636.66 is: 954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.51 : 3,876.66 = 636.66 : x
  2. Step 2: Convert to fraction form
    2,584.51/3,876.66 = 636.66/x
  3. Step 3: Cross multiply
    2,584.51x = 3,876.66 × 636.66
  4. Step 4: Simplify right side
    2,584.51x = 2,468,114.36
  5. Step 5: Solve for x
    x = 2,468,114.36/2,584.51
  6. Step 6: Final answer
    x = 954.97

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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.