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Finding the Fourth Proportional to 13,642.13, 20,463.21 and 3,781.44

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Solution

The fourth proportional to 13,642.13, 20,463.21 and 3,781.44 is: 5,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.13 : 20,463.21 = 3,781.44 : x
  2. Step 2: Convert to fraction form
    13,642.13/20,463.21 = 3,781.44/x
  3. Step 3: Cross multiply
    13,642.13x = 20,463.21 × 3,781.44
  4. Step 4: Simplify right side
    13,642.13x = 77,380,400.82
  5. Step 5: Solve for x
    x = 77,380,400.82/13,642.13
  6. Step 6: Final answer
    x = 5,672.17

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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.