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Finding the Fourth Proportional to 1,995.82, 2,754.28 and 1,209.40

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Solution

The fourth proportional to 1,995.82, 2,754.28 and 1,209.40 is: 1,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.82 : 2,754.28 = 1,209.40 : x
  2. Step 2: Convert to fraction form
    1,995.82/2,754.28 = 1,209.40/x
  3. Step 3: Cross multiply
    1,995.82x = 2,754.28 × 1,209.40
  4. Step 4: Simplify right side
    1,995.82x = 3,331,026.23
  5. Step 5: Solve for x
    x = 3,331,026.23/1,995.82
  6. Step 6: Final answer
    x = 1,669.00

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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.