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Finding the Fourth Proportional to 3,187.58, 4,398.96 and 1,928.87

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Solution

The fourth proportional to 3,187.58, 4,398.96 and 1,928.87 is: 2,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.58 : 4,398.96 = 1,928.87 : x
  2. Step 2: Convert to fraction form
    3,187.58/4,398.96 = 1,928.87/x
  3. Step 3: Cross multiply
    3,187.58x = 4,398.96 × 1,928.87
  4. Step 4: Simplify right side
    3,187.58x = 8,485,021.98
  5. Step 5: Solve for x
    x = 8,485,021.98/3,187.58
  6. Step 6: Final answer
    x = 2,661.90

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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.