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Finding the Fourth Proportional to 2,099.66, 3,131.19 and 1,840.86

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Solution

The fourth proportional to 2,099.66, 3,131.19 and 1,840.86 is: 2,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.66 : 3,131.19 = 1,840.86 : x
  2. Step 2: Convert to fraction form
    2,099.66/3,131.19 = 1,840.86/x
  3. Step 3: Cross multiply
    2,099.66x = 3,131.19 × 1,840.86
  4. Step 4: Simplify right side
    2,099.66x = 5,764,082.42
  5. Step 5: Solve for x
    x = 5,764,082.42/2,099.66
  6. Step 6: Final answer
    x = 2,745.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.