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Finding the Fourth Proportional to 1,236.25, 1,847.55 and 991.63

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Solution

The fourth proportional to 1,236.25, 1,847.55 and 991.63 is: 1,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.25 : 1,847.55 = 991.63 : x
  2. Step 2: Convert to fraction form
    1,236.25/1,847.55 = 991.63/x
  3. Step 3: Cross multiply
    1,236.25x = 1,847.55 × 991.63
  4. Step 4: Simplify right side
    1,236.25x = 1,832,086.01
  5. Step 5: Solve for x
    x = 1,832,086.01/1,236.25
  6. Step 6: Final answer
    x = 1,481.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.