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Finding the Fourth Proportional to 3,994.47, 5,992.13 and 1,531.38

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Solution

The fourth proportional to 3,994.47, 5,992.13 and 1,531.38 is: 2,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.47 : 5,992.13 = 1,531.38 : x
  2. Step 2: Convert to fraction form
    3,994.47/5,992.13 = 1,531.38/x
  3. Step 3: Cross multiply
    3,994.47x = 5,992.13 × 1,531.38
  4. Step 4: Simplify right side
    3,994.47x = 9,176,228.04
  5. Step 5: Solve for x
    x = 9,176,228.04/3,994.47
  6. Step 6: Final answer
    x = 2,297.23

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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.