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Finding the Fourth Proportional to 2,657.77, 3,986.85 and 809.04

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Solution

The fourth proportional to 2,657.77, 3,986.85 and 809.04 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.77 : 3,986.85 = 809.04 : x
  2. Step 2: Convert to fraction form
    2,657.77/3,986.85 = 809.04/x
  3. Step 3: Cross multiply
    2,657.77x = 3,986.85 × 809.04
  4. Step 4: Simplify right side
    2,657.77x = 3,225,511.16
  5. Step 5: Solve for x
    x = 3,225,511.16/2,657.77
  6. Step 6: Final answer
    x = 1,213.62

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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.