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Finding the Fourth Proportional to 2,755.68, 4,133.82 and 808.20

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Solution

The fourth proportional to 2,755.68, 4,133.82 and 808.20 is: 1,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.68 : 4,133.82 = 808.20 : x
  2. Step 2: Convert to fraction form
    2,755.68/4,133.82 = 808.20/x
  3. Step 3: Cross multiply
    2,755.68x = 4,133.82 × 808.20
  4. Step 4: Simplify right side
    2,755.68x = 3,340,953.32
  5. Step 5: Solve for x
    x = 3,340,953.32/2,755.68
  6. Step 6: Final answer
    x = 1,212.39

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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.