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Finding the Fourth Proportional to 3,578.92, 4,941.48 and 2,321.80

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Solution

The fourth proportional to 3,578.92, 4,941.48 and 2,321.80 is: 3,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.92 : 4,941.48 = 2,321.80 : x
  2. Step 2: Convert to fraction form
    3,578.92/4,941.48 = 2,321.80/x
  3. Step 3: Cross multiply
    3,578.92x = 4,941.48 × 2,321.80
  4. Step 4: Simplify right side
    3,578.92x = 11,473,128.26
  5. Step 5: Solve for x
    x = 11,473,128.26/3,578.92
  6. Step 6: Final answer
    x = 3,205.75

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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.