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Finding the Fourth Proportional to 2,939.54, 4,409.91 and 991.71

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Solution

The fourth proportional to 2,939.54, 4,409.91 and 991.71 is: 1,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.54 : 4,409.91 = 991.71 : x
  2. Step 2: Convert to fraction form
    2,939.54/4,409.91 = 991.71/x
  3. Step 3: Cross multiply
    2,939.54x = 4,409.91 × 991.71
  4. Step 4: Simplify right side
    2,939.54x = 4,373,351.85
  5. Step 5: Solve for x
    x = 4,373,351.85/2,939.54
  6. Step 6: Final answer
    x = 1,487.77

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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.