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Finding the Fourth Proportional to 2,003.79, 2,998.17 and 1,388.70

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Solution

The fourth proportional to 2,003.79, 2,998.17 and 1,388.70 is: 2,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.79 : 2,998.17 = 1,388.70 : x
  2. Step 2: Convert to fraction form
    2,003.79/2,998.17 = 1,388.70/x
  3. Step 3: Cross multiply
    2,003.79x = 2,998.17 × 1,388.70
  4. Step 4: Simplify right side
    2,003.79x = 4,163,558.68
  5. Step 5: Solve for x
    x = 4,163,558.68/2,003.79
  6. Step 6: Final answer
    x = 2,077.84

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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.