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Finding the Fourth Proportional to 2,556.66, 3,836.16 and 1,908.66

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Solution

The fourth proportional to 2,556.66, 3,836.16 and 1,908.66 is: 2,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.66 : 3,836.16 = 1,908.66 : x
  2. Step 2: Convert to fraction form
    2,556.66/3,836.16 = 1,908.66/x
  3. Step 3: Cross multiply
    2,556.66x = 3,836.16 × 1,908.66
  4. Step 4: Simplify right side
    2,556.66x = 7,321,925.15
  5. Step 5: Solve for x
    x = 7,321,925.15/2,556.66
  6. Step 6: Final answer
    x = 2,863.86

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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.