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Finding the Fourth Proportional to 3,259.43, 4,891.77 and 1,699.91

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Solution

The fourth proportional to 3,259.43, 4,891.77 and 1,699.91 is: 2,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.43 : 4,891.77 = 1,699.91 : x
  2. Step 2: Convert to fraction form
    3,259.43/4,891.77 = 1,699.91/x
  3. Step 3: Cross multiply
    3,259.43x = 4,891.77 × 1,699.91
  4. Step 4: Simplify right side
    3,259.43x = 8,315,568.74
  5. Step 5: Solve for x
    x = 8,315,568.74/3,259.43
  6. Step 6: Final answer
    x = 2,551.23

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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.