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Finding the Fourth Proportional to 3,781.80, 5,672.70 and 1,184.74

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Solution

The fourth proportional to 3,781.80, 5,672.70 and 1,184.74 is: 1,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.80 : 5,672.70 = 1,184.74 : x
  2. Step 2: Convert to fraction form
    3,781.80/5,672.70 = 1,184.74/x
  3. Step 3: Cross multiply
    3,781.80x = 5,672.70 × 1,184.74
  4. Step 4: Simplify right side
    3,781.80x = 6,720,674.60
  5. Step 5: Solve for x
    x = 6,720,674.60/3,781.80
  6. Step 6: Final answer
    x = 1,777.11

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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.