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Finding the Fourth Proportional to 2,091.19, 3,137.19 and 996.78

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Solution

The fourth proportional to 2,091.19, 3,137.19 and 996.78 is: 1,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.19 : 3,137.19 = 996.78 : x
  2. Step 2: Convert to fraction form
    2,091.19/3,137.19 = 996.78/x
  3. Step 3: Cross multiply
    2,091.19x = 3,137.19 × 996.78
  4. Step 4: Simplify right side
    2,091.19x = 3,127,088.25
  5. Step 5: Solve for x
    x = 3,127,088.25/2,091.19
  6. Step 6: Final answer
    x = 1,495.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.