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Finding the Fourth Proportional to 3,945, 5,446.38 and 3,015.24

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Solution

The fourth proportional to 3,945, 5,446.38 and 3,015.24 is: 4,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945 : 5,446.38 = 3,015.24 : x
  2. Step 2: Convert to fraction form
    3,945/5,446.38 = 3,015.24/x
  3. Step 3: Cross multiply
    3,945x = 5,446.38 × 3,015.24
  4. Step 4: Simplify right side
    3,945x = 16,422,142.83
  5. Step 5: Solve for x
    x = 16,422,142.83/3,945
  6. Step 6: Final answer
    x = 4,162.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.