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Finding the Fourth Proportional to 1,935.71, 2,671.12 and 1,138.90

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Solution

The fourth proportional to 1,935.71, 2,671.12 and 1,138.90 is: 1,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.71 : 2,671.12 = 1,138.90 : x
  2. Step 2: Convert to fraction form
    1,935.71/2,671.12 = 1,138.90/x
  3. Step 3: Cross multiply
    1,935.71x = 2,671.12 × 1,138.90
  4. Step 4: Simplify right side
    1,935.71x = 3,042,141.59
  5. Step 5: Solve for x
    x = 3,042,141.59/1,935.71
  6. Step 6: Final answer
    x = 1,571.59

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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.