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Finding the Fourth Proportional to 1,235.06, 1,850.42 and 1,101.14

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Solution

The fourth proportional to 1,235.06, 1,850.42 and 1,101.14 is: 1,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.06 : 1,850.42 = 1,101.14 : x
  2. Step 2: Convert to fraction form
    1,235.06/1,850.42 = 1,101.14/x
  3. Step 3: Cross multiply
    1,235.06x = 1,850.42 × 1,101.14
  4. Step 4: Simplify right side
    1,235.06x = 2,037,571.48
  5. Step 5: Solve for x
    x = 2,037,571.48/1,235.06
  6. Step 6: Final answer
    x = 1,649.78

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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.