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Finding the Fourth Proportional to 2,983.56, 4,119.03 and 1,992.12

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Solution

The fourth proportional to 2,983.56, 4,119.03 and 1,992.12 is: 2,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.56 : 4,119.03 = 1,992.12 : x
  2. Step 2: Convert to fraction form
    2,983.56/4,119.03 = 1,992.12/x
  3. Step 3: Cross multiply
    2,983.56x = 4,119.03 × 1,992.12
  4. Step 4: Simplify right side
    2,983.56x = 8,205,602.04
  5. Step 5: Solve for x
    x = 8,205,602.04/2,983.56
  6. Step 6: Final answer
    x = 2,750.27

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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.