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Finding the Fourth Proportional to 3,781.95, 5,672.71 and 1,184.82

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Solution

The fourth proportional to 3,781.95, 5,672.71 and 1,184.82 is: 1,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.95 : 5,672.71 = 1,184.82 : x
  2. Step 2: Convert to fraction form
    3,781.95/5,672.71 = 1,184.82/x
  3. Step 3: Cross multiply
    3,781.95x = 5,672.71 × 1,184.82
  4. Step 4: Simplify right side
    3,781.95x = 6,721,140.26
  5. Step 5: Solve for x
    x = 6,721,140.26/3,781.95
  6. Step 6: Final answer
    x = 1,777.16

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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.