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Finding the Fourth Proportional to 2,042.16, 3,062.04 and 808.80

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Solution

The fourth proportional to 2,042.16, 3,062.04 and 808.80 is: 1,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.16 : 3,062.04 = 808.80 : x
  2. Step 2: Convert to fraction form
    2,042.16/3,062.04 = 808.80/x
  3. Step 3: Cross multiply
    2,042.16x = 3,062.04 × 808.80
  4. Step 4: Simplify right side
    2,042.16x = 2,476,577.95
  5. Step 5: Solve for x
    x = 2,476,577.95/2,042.16
  6. Step 6: Final answer
    x = 1,212.72

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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.