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Finding the Fourth Proportional to 2,998.93, 4,142.56 and 2,719.48

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Solution

The fourth proportional to 2,998.93, 4,142.56 and 2,719.48 is: 3,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.93 : 4,142.56 = 2,719.48 : x
  2. Step 2: Convert to fraction form
    2,998.93/4,142.56 = 2,719.48/x
  3. Step 3: Cross multiply
    2,998.93x = 4,142.56 × 2,719.48
  4. Step 4: Simplify right side
    2,998.93x = 11,265,591.91
  5. Step 5: Solve for x
    x = 11,265,591.91/2,998.93
  6. Step 6: Final answer
    x = 3,756.54

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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.