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Finding the Fourth Proportional to 2,756.61, 4,135.60 and 808.82

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Solution

The fourth proportional to 2,756.61, 4,135.60 and 808.82 is: 1,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.61 : 4,135.60 = 808.82 : x
  2. Step 2: Convert to fraction form
    2,756.61/4,135.60 = 808.82/x
  3. Step 3: Cross multiply
    2,756.61x = 4,135.60 × 808.82
  4. Step 4: Simplify right side
    2,756.61x = 3,344,951.83
  5. Step 5: Solve for x
    x = 3,344,951.83/2,756.61
  6. Step 6: Final answer
    x = 1,213.43

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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.