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Finding the Fourth Proportional to 1,181.90, 1,781.70 and 1,102.61

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Solution

The fourth proportional to 1,181.90, 1,781.70 and 1,102.61 is: 1,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.90 : 1,781.70 = 1,102.61 : x
  2. Step 2: Convert to fraction form
    1,181.90/1,781.70 = 1,102.61/x
  3. Step 3: Cross multiply
    1,181.90x = 1,781.70 × 1,102.61
  4. Step 4: Simplify right side
    1,181.90x = 1,964,520.24
  5. Step 5: Solve for x
    x = 1,964,520.24/1,181.90
  6. Step 6: Final answer
    x = 1,662.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.