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Finding the Fourth Proportional to 2,758, 4,136.19 and 809.74

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Solution

The fourth proportional to 2,758, 4,136.19 and 809.74 is: 1,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758 : 4,136.19 = 809.74 : x
  2. Step 2: Convert to fraction form
    2,758/4,136.19 = 809.74/x
  3. Step 3: Cross multiply
    2,758x = 4,136.19 × 809.74
  4. Step 4: Simplify right side
    2,758x = 3,349,238.49
  5. Step 5: Solve for x
    x = 3,349,238.49/2,758
  6. Step 6: Final answer
    x = 1,214.37

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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.