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Finding the Fourth Proportional to 2,584.57, 3,876.81 and 636.77

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Solution

The fourth proportional to 2,584.57, 3,876.81 and 636.77 is: 955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.57 : 3,876.81 = 636.77 : x
  2. Step 2: Convert to fraction form
    2,584.57/3,876.81 = 636.77/x
  3. Step 3: Cross multiply
    2,584.57x = 3,876.81 × 636.77
  4. Step 4: Simplify right side
    2,584.57x = 2,468,636.30
  5. Step 5: Solve for x
    x = 2,468,636.30/2,584.57
  6. Step 6: Final answer
    x = 955.14

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1.5x scale

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.