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Finding the Fourth Proportional to 2,757.30, 4,135.80 and 809.52

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Solution

The fourth proportional to 2,757.30, 4,135.80 and 809.52 is: 1,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.30 : 4,135.80 = 809.52 : x
  2. Step 2: Convert to fraction form
    2,757.30/4,135.80 = 809.52/x
  3. Step 3: Cross multiply
    2,757.30x = 4,135.80 × 809.52
  4. Step 4: Simplify right side
    2,757.30x = 3,348,012.82
  5. Step 5: Solve for x
    x = 3,348,012.82/2,757.30
  6. Step 6: Final answer
    x = 1,214.24

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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.