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Finding the Fourth Proportional to 2,657.69, 3,986.29 and 809.21

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Solution

The fourth proportional to 2,657.69, 3,986.29 and 809.21 is: 1,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.69 : 3,986.29 = 809.21 : x
  2. Step 2: Convert to fraction form
    2,657.69/3,986.29 = 809.21/x
  3. Step 3: Cross multiply
    2,657.69x = 3,986.29 × 809.21
  4. Step 4: Simplify right side
    2,657.69x = 3,225,721.75
  5. Step 5: Solve for x
    x = 3,225,721.75/2,657.69
  6. Step 6: Final answer
    x = 1,213.73

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1.5x scale

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.