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Finding the Fourth Proportional to 2,271.48, 3,405.36 and 809.80

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Solution

The fourth proportional to 2,271.48, 3,405.36 and 809.80 is: 1,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.48 : 3,405.36 = 809.80 : x
  2. Step 2: Convert to fraction form
    2,271.48/3,405.36 = 809.80/x
  3. Step 3: Cross multiply
    2,271.48x = 3,405.36 × 809.80
  4. Step 4: Simplify right side
    2,271.48x = 2,757,660.53
  5. Step 5: Solve for x
    x = 2,757,660.53/2,271.48
  6. Step 6: Final answer
    x = 1,214.04

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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.