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Finding the Fourth Proportional to 7,993, 11,991.28 and 2,447.12

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Solution

The fourth proportional to 7,993, 11,991.28 and 2,447.12 is: 3,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993 : 11,991.28 = 2,447.12 : x
  2. Step 2: Convert to fraction form
    7,993/11,991.28 = 2,447.12/x
  3. Step 3: Cross multiply
    7,993x = 11,991.28 × 2,447.12
  4. Step 4: Simplify right side
    7,993x = 29,344,101.11
  5. Step 5: Solve for x
    x = 29,344,101.11/7,993
  6. Step 6: Final answer
    x = 3,671.22

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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.