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Finding the Fourth Proportional to 3,998.13, 5,997.71 and 2,146.71

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Solution

The fourth proportional to 3,998.13, 5,997.71 and 2,146.71 is: 3,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.13 : 5,997.71 = 2,146.71 : x
  2. Step 2: Convert to fraction form
    3,998.13/5,997.71 = 2,146.71/x
  3. Step 3: Cross multiply
    3,998.13x = 5,997.71 × 2,146.71
  4. Step 4: Simplify right side
    3,998.13x = 12,875,349.40
  5. Step 5: Solve for x
    x = 12,875,349.40/3,998.13
  6. Step 6: Final answer
    x = 3,220.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.