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Finding the Fourth Proportional to 3,781.69, 5,672.84 and 1,184.63

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Solution

The fourth proportional to 3,781.69, 5,672.84 and 1,184.63 is: 1,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 5,672.84 = 1,184.63 : x
  2. Step 2: Convert to fraction form
    3,781.69/5,672.84 = 1,184.63/x
  3. Step 3: Cross multiply
    3,781.69x = 5,672.84 × 1,184.63
  4. Step 4: Simplify right side
    3,781.69x = 6,720,182.16
  5. Step 5: Solve for x
    x = 6,720,182.16/3,781.69
  6. Step 6: Final answer
    x = 1,777.03

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1.5x scale

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.