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Finding the Fourth Proportional to 2,099.13, 3,150.13 and 731.13

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Solution

The fourth proportional to 2,099.13, 3,150.13 and 731.13 is: 1,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.13 : 3,150.13 = 731.13 : x
  2. Step 2: Convert to fraction form
    2,099.13/3,150.13 = 731.13/x
  3. Step 3: Cross multiply
    2,099.13x = 3,150.13 × 731.13
  4. Step 4: Simplify right side
    2,099.13x = 2,303,154.55
  5. Step 5: Solve for x
    x = 2,303,154.55/2,099.13
  6. Step 6: Final answer
    x = 1,097.19

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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.