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Finding the Fourth Proportional to 2,105.71, 3,158.57 and 935.44

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Solution

The fourth proportional to 2,105.71, 3,158.57 and 935.44 is: 1,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.71 : 3,158.57 = 935.44 : x
  2. Step 2: Convert to fraction form
    2,105.71/3,158.57 = 935.44/x
  3. Step 3: Cross multiply
    2,105.71x = 3,158.57 × 935.44
  4. Step 4: Simplify right side
    2,105.71x = 2,954,652.72
  5. Step 5: Solve for x
    x = 2,954,652.72/2,105.71
  6. Step 6: Final answer
    x = 1,403.16

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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.