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Finding the Fourth Proportional to 5,182.57, 7,773.78 and 1,286.94

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Solution

The fourth proportional to 5,182.57, 7,773.78 and 1,286.94 is: 1,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.57 : 7,773.78 = 1,286.94 : x
  2. Step 2: Convert to fraction form
    5,182.57/7,773.78 = 1,286.94/x
  3. Step 3: Cross multiply
    5,182.57x = 7,773.78 × 1,286.94
  4. Step 4: Simplify right side
    5,182.57x = 10,004,388.43
  5. Step 5: Solve for x
    x = 10,004,388.43/5,182.57
  6. Step 6: Final answer
    x = 1,930.39

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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.