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Finding the Fourth Proportional to 2,757.60, 4,136.40 and 809.78

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Solution

The fourth proportional to 2,757.60, 4,136.40 and 809.78 is: 1,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.60 : 4,136.40 = 809.78 : x
  2. Step 2: Convert to fraction form
    2,757.60/4,136.40 = 809.78/x
  3. Step 3: Cross multiply
    2,757.60x = 4,136.40 × 809.78
  4. Step 4: Simplify right side
    2,757.60x = 3,349,553.31
  5. Step 5: Solve for x
    x = 3,349,553.31/2,757.60
  6. Step 6: Final answer
    x = 1,214.66

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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.