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Finding the Fourth Proportional to 3,491, 4,817.77 and 1,998.57

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Solution

The fourth proportional to 3,491, 4,817.77 and 1,998.57 is: 2,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491 : 4,817.77 = 1,998.57 : x
  2. Step 2: Convert to fraction form
    3,491/4,817.77 = 1,998.57/x
  3. Step 3: Cross multiply
    3,491x = 4,817.77 × 1,998.57
  4. Step 4: Simplify right side
    3,491x = 9,628,650.59
  5. Step 5: Solve for x
    x = 9,628,650.59/3,491
  6. Step 6: Final answer
    x = 2,758.14

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1.5x scale

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.