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Finding the Fourth Proportional to 2,913.54, 4,019.13 and 2,027.82

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Solution

The fourth proportional to 2,913.54, 4,019.13 and 2,027.82 is: 2,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.54 : 4,019.13 = 2,027.82 : x
  2. Step 2: Convert to fraction form
    2,913.54/4,019.13 = 2,027.82/x
  3. Step 3: Cross multiply
    2,913.54x = 4,019.13 × 2,027.82
  4. Step 4: Simplify right side
    2,913.54x = 8,150,072.20
  5. Step 5: Solve for x
    x = 8,150,072.20/2,913.54
  6. Step 6: Final answer
    x = 2,797.31

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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.