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Finding the Fourth Proportional to 1,691.60, 2,334.79 and 1,101.11

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Solution

The fourth proportional to 1,691.60, 2,334.79 and 1,101.11 is: 1,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.60 : 2,334.79 = 1,101.11 : x
  2. Step 2: Convert to fraction form
    1,691.60/2,334.79 = 1,101.11/x
  3. Step 3: Cross multiply
    1,691.60x = 2,334.79 × 1,101.11
  4. Step 4: Simplify right side
    1,691.60x = 2,570,850.32
  5. Step 5: Solve for x
    x = 2,570,850.32/1,691.60
  6. Step 6: Final answer
    x = 1,519.78

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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.