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Finding the Fourth Proportional to 2,757.09, 4,135.08 and 808.77

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Solution

The fourth proportional to 2,757.09, 4,135.08 and 808.77 is: 1,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.09 : 4,135.08 = 808.77 : x
  2. Step 2: Convert to fraction form
    2,757.09/4,135.08 = 808.77/x
  3. Step 3: Cross multiply
    2,757.09x = 4,135.08 × 808.77
  4. Step 4: Simplify right side
    2,757.09x = 3,344,328.65
  5. Step 5: Solve for x
    x = 3,344,328.65/2,757.09
  6. Step 6: Final answer
    x = 1,212.99

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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.