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Finding the Fourth Proportional to 2,755.93, 4,133.95 and 808.13

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Solution

The fourth proportional to 2,755.93, 4,133.95 and 808.13 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.93 : 4,133.95 = 808.13 : x
  2. Step 2: Convert to fraction form
    2,755.93/4,133.95 = 808.13/x
  3. Step 3: Cross multiply
    2,755.93x = 4,133.95 × 808.13
  4. Step 4: Simplify right side
    2,755.93x = 3,340,761.83
  5. Step 5: Solve for x
    x = 3,340,761.83/2,755.93
  6. Step 6: Final answer
    x = 1,212.21

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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.