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Finding the Fourth Proportional to 2,775.87, 3,830.73 and 1,516.92

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Solution

The fourth proportional to 2,775.87, 3,830.73 and 1,516.92 is: 2,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.87 : 3,830.73 = 1,516.92 : x
  2. Step 2: Convert to fraction form
    2,775.87/3,830.73 = 1,516.92/x
  3. Step 3: Cross multiply
    2,775.87x = 3,830.73 × 1,516.92
  4. Step 4: Simplify right side
    2,775.87x = 5,810,910.95
  5. Step 5: Solve for x
    x = 5,810,910.95/2,775.87
  6. Step 6: Final answer
    x = 2,093.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.