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Finding the Fourth Proportional to 2,881.96, 3,978.98 and 2,097.96

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Solution

The fourth proportional to 2,881.96, 3,978.98 and 2,097.96 is: 2,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.96 : 3,978.98 = 2,097.96 : x
  2. Step 2: Convert to fraction form
    2,881.96/3,978.98 = 2,097.96/x
  3. Step 3: Cross multiply
    2,881.96x = 3,978.98 × 2,097.96
  4. Step 4: Simplify right side
    2,881.96x = 8,347,740.88
  5. Step 5: Solve for x
    x = 8,347,740.88/2,881.96
  6. Step 6: Final answer
    x = 2,896.55

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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.