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Finding the Fourth Proportional to 3,278.61, 4,917.78 and 813.38

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Solution

The fourth proportional to 3,278.61, 4,917.78 and 813.38 is: 1,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.61 : 4,917.78 = 813.38 : x
  2. Step 2: Convert to fraction form
    3,278.61/4,917.78 = 813.38/x
  3. Step 3: Cross multiply
    3,278.61x = 4,917.78 × 813.38
  4. Step 4: Simplify right side
    3,278.61x = 3,999,999.31
  5. Step 5: Solve for x
    x = 3,999,999.31/3,278.61
  6. Step 6: Final answer
    x = 1,220.03

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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.