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Finding the Fourth Proportional to 1,995.66, 2,754.26 and 1,209.71

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Solution

The fourth proportional to 1,995.66, 2,754.26 and 1,209.71 is: 1,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.66 : 2,754.26 = 1,209.71 : x
  2. Step 2: Convert to fraction form
    1,995.66/2,754.26 = 1,209.71/x
  3. Step 3: Cross multiply
    1,995.66x = 2,754.26 × 1,209.71
  4. Step 4: Simplify right side
    1,995.66x = 3,331,836.04
  5. Step 5: Solve for x
    x = 3,331,836.04/1,995.66
  6. Step 6: Final answer
    x = 1,669.54

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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.