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Finding the Fourth Proportional to 3,274.98, 4,912.56 and 809.70

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Solution

The fourth proportional to 3,274.98, 4,912.56 and 809.70 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.98 : 4,912.56 = 809.70 : x
  2. Step 2: Convert to fraction form
    3,274.98/4,912.56 = 809.70/x
  3. Step 3: Cross multiply
    3,274.98x = 4,912.56 × 809.70
  4. Step 4: Simplify right side
    3,274.98x = 3,977,699.83
  5. Step 5: Solve for x
    x = 3,977,699.83/3,274.98
  6. Step 6: Final answer
    x = 1,214.57

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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.