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Finding the Fourth Proportional to 2,939.41, 4,409.53 and 859.57

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Solution

The fourth proportional to 2,939.41, 4,409.53 and 859.57 is: 1,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.41 : 4,409.53 = 859.57 : x
  2. Step 2: Convert to fraction form
    2,939.41/4,409.53 = 859.57/x
  3. Step 3: Cross multiply
    2,939.41x = 4,409.53 × 859.57
  4. Step 4: Simplify right side
    2,939.41x = 3,790,299.54
  5. Step 5: Solve for x
    x = 3,790,299.54/2,939.41
  6. Step 6: Final answer
    x = 1,289.48

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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.