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Finding the Fourth Proportional to 2,099.66, 3,149.80 and 1,003.12

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Solution

The fourth proportional to 2,099.66, 3,149.80 and 1,003.12 is: 1,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.66 : 3,149.80 = 1,003.12 : x
  2. Step 2: Convert to fraction form
    2,099.66/3,149.80 = 1,003.12/x
  3. Step 3: Cross multiply
    2,099.66x = 3,149.80 × 1,003.12
  4. Step 4: Simplify right side
    2,099.66x = 3,159,616.99
  5. Step 5: Solve for x
    x = 3,159,616.99/2,099.66
  6. Step 6: Final answer
    x = 1,504.83

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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.