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Finding the Fourth Proportional to 3,278.73, 4,918.00 and 813.52

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Solution

The fourth proportional to 3,278.73, 4,918.00 and 813.52 is: 1,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.73 : 4,918.00 = 813.52 : x
  2. Step 2: Convert to fraction form
    3,278.73/4,918.00 = 813.52/x
  3. Step 3: Cross multiply
    3,278.73x = 4,918.00 × 813.52
  4. Step 4: Simplify right side
    3,278.73x = 4,000,886.60
  5. Step 5: Solve for x
    x = 4,000,886.60/3,278.73
  6. Step 6: Final answer
    x = 1,220.26

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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.