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Finding the Fourth Proportional to 2,181.62, 3,010.62 and 1,186.90

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Solution

The fourth proportional to 2,181.62, 3,010.62 and 1,186.90 is: 1,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.62 : 3,010.62 = 1,186.90 : x
  2. Step 2: Convert to fraction form
    2,181.62/3,010.62 = 1,186.90/x
  3. Step 3: Cross multiply
    2,181.62x = 3,010.62 × 1,186.90
  4. Step 4: Simplify right side
    2,181.62x = 3,573,304.88
  5. Step 5: Solve for x
    x = 3,573,304.88/2,181.62
  6. Step 6: Final answer
    x = 1,637.91

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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.