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Finding the Fourth Proportional to 2,127.68, 2,936 and 1,196

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Solution

The fourth proportional to 2,127.68, 2,936 and 1,196 is: 1,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.68 : 2,936 = 1,196 : x
  2. Step 2: Convert to fraction form
    2,127.68/2,936 = 1,196/x
  3. Step 3: Cross multiply
    2,127.68x = 2,936 × 1,196
  4. Step 4: Simplify right side
    2,127.68x = 3,511,456
  5. Step 5: Solve for x
    x = 3,511,456/2,127.68
  6. Step 6: Final answer
    x = 1,650.37

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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.