Home / 1,781.83-2,669.10-1,049.19

Finding the Fourth Proportional to 1,781.83, 2,669.10 and 1,049.19

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Solution

The fourth proportional to 1,781.83, 2,669.10 and 1,049.19 is: 1,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.83 : 2,669.10 = 1,049.19 : x
  2. Step 2: Convert to fraction form
    1,781.83/2,669.10 = 1,049.19/x
  3. Step 3: Cross multiply
    1,781.83x = 2,669.10 × 1,049.19
  4. Step 4: Simplify right side
    1,781.83x = 2,800,393.03
  5. Step 5: Solve for x
    x = 2,800,393.03/1,781.83
  6. Step 6: Final answer
    x = 1,571.64

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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.