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Finding the Fourth Proportional to 3,978.57, 5,488.80 and 2,299.64

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Solution

The fourth proportional to 3,978.57, 5,488.80 and 2,299.64 is: 3,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.57 : 5,488.80 = 2,299.64 : x
  2. Step 2: Convert to fraction form
    3,978.57/5,488.80 = 2,299.64/x
  3. Step 3: Cross multiply
    3,978.57x = 5,488.80 × 2,299.64
  4. Step 4: Simplify right side
    3,978.57x = 12,622,236.59
  5. Step 5: Solve for x
    x = 12,622,236.59/3,978.57
  6. Step 6: Final answer
    x = 3,172.56

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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.