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Finding the Fourth Proportional to 2,099.37, 3,149.07 and 913.14

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Solution

The fourth proportional to 2,099.37, 3,149.07 and 913.14 is: 1,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.37 : 3,149.07 = 913.14 : x
  2. Step 2: Convert to fraction form
    2,099.37/3,149.07 = 913.14/x
  3. Step 3: Cross multiply
    2,099.37x = 3,149.07 × 913.14
  4. Step 4: Simplify right side
    2,099.37x = 2,875,541.78
  5. Step 5: Solve for x
    x = 2,875,541.78/2,099.37
  6. Step 6: Final answer
    x = 1,369.72

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Double scale
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Similar ratio
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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.