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Finding the Fourth Proportional to 3,242.70, 4,473.83 and 1,983.05

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Solution

The fourth proportional to 3,242.70, 4,473.83 and 1,983.05 is: 2,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.70 : 4,473.83 = 1,983.05 : x
  2. Step 2: Convert to fraction form
    3,242.70/4,473.83 = 1,983.05/x
  3. Step 3: Cross multiply
    3,242.70x = 4,473.83 × 1,983.05
  4. Step 4: Simplify right side
    3,242.70x = 8,871,827.95
  5. Step 5: Solve for x
    x = 8,871,827.95/3,242.70
  6. Step 6: Final answer
    x = 2,735.94

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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.