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Finding the Fourth Proportional to 3,867.76, 5,337.36 and 2,099.32

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Solution

The fourth proportional to 3,867.76, 5,337.36 and 2,099.32 is: 2,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.76 : 5,337.36 = 2,099.32 : x
  2. Step 2: Convert to fraction form
    3,867.76/5,337.36 = 2,099.32/x
  3. Step 3: Cross multiply
    3,867.76x = 5,337.36 × 2,099.32
  4. Step 4: Simplify right side
    3,867.76x = 11,204,843.27
  5. Step 5: Solve for x
    x = 11,204,843.27/3,867.76
  6. Step 6: Final answer
    x = 2,896.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.