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Finding the Fourth Proportional to 2,099.22, 3,146.13 and 867.49

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Solution

The fourth proportional to 2,099.22, 3,146.13 and 867.49 is: 1,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.22 : 3,146.13 = 867.49 : x
  2. Step 2: Convert to fraction form
    2,099.22/3,146.13 = 867.49/x
  3. Step 3: Cross multiply
    2,099.22x = 3,146.13 × 867.49
  4. Step 4: Simplify right side
    2,099.22x = 2,729,231.98
  5. Step 5: Solve for x
    x = 2,729,231.98/2,099.22
  6. Step 6: Final answer
    x = 1,300.12

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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.