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Finding the Fourth Proportional to 3,784.22, 5,675.97 and 1,187.18

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Solution

The fourth proportional to 3,784.22, 5,675.97 and 1,187.18 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.22 : 5,675.97 = 1,187.18 : x
  2. Step 2: Convert to fraction form
    3,784.22/5,675.97 = 1,187.18/x
  3. Step 3: Cross multiply
    3,784.22x = 5,675.97 × 1,187.18
  4. Step 4: Simplify right side
    3,784.22x = 6,738,398.06
  5. Step 5: Solve for x
    x = 6,738,398.06/3,784.22
  6. Step 6: Final answer
    x = 1,780.66

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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.