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Finding the Fourth Proportional to 1,998.50, 2,983.12 and 1,853.91

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Solution

The fourth proportional to 1,998.50, 2,983.12 and 1,853.91 is: 2,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.50 : 2,983.12 = 1,853.91 : x
  2. Step 2: Convert to fraction form
    1,998.50/2,983.12 = 1,853.91/x
  3. Step 3: Cross multiply
    1,998.50x = 2,983.12 × 1,853.91
  4. Step 4: Simplify right side
    1,998.50x = 5,530,431.36
  5. Step 5: Solve for x
    x = 5,530,431.36/1,998.50
  6. Step 6: Final answer
    x = 2,767.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.