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Finding the Fourth Proportional to 1,995.90, 2,753.88 and 1,209.78

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Solution

The fourth proportional to 1,995.90, 2,753.88 and 1,209.78 is: 1,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.90 : 2,753.88 = 1,209.78 : x
  2. Step 2: Convert to fraction form
    1,995.90/2,753.88 = 1,209.78/x
  3. Step 3: Cross multiply
    1,995.90x = 2,753.88 × 1,209.78
  4. Step 4: Simplify right side
    1,995.90x = 3,331,588.95
  5. Step 5: Solve for x
    x = 3,331,588.95/1,995.90
  6. Step 6: Final answer
    x = 1,669.22

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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.