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Finding the Fourth Proportional to 2,945.92, 4,418.34 and 998.08

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Solution

The fourth proportional to 2,945.92, 4,418.34 and 998.08 is: 1,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.92 : 4,418.34 = 998.08 : x
  2. Step 2: Convert to fraction form
    2,945.92/4,418.34 = 998.08/x
  3. Step 3: Cross multiply
    2,945.92x = 4,418.34 × 998.08
  4. Step 4: Simplify right side
    2,945.92x = 4,409,856.79
  5. Step 5: Solve for x
    x = 4,409,856.79/2,945.92
  6. Step 6: Final answer
    x = 1,496.94

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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.