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Finding the Fourth Proportional to 3,491, 4,817.18 and 1,998.83

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Solution

The fourth proportional to 3,491, 4,817.18 and 1,998.83 is: 2,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491 : 4,817.18 = 1,998.83 : x
  2. Step 2: Convert to fraction form
    3,491/4,817.18 = 1,998.83/x
  3. Step 3: Cross multiply
    3,491x = 4,817.18 × 1,998.83
  4. Step 4: Simplify right side
    3,491x = 9,628,713.91
  5. Step 5: Solve for x
    x = 9,628,713.91/3,491
  6. Step 6: Final answer
    x = 2,758.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.