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Finding the Fourth Proportional to 3,578.77, 4,943.46 and 3,205.72

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Solution

The fourth proportional to 3,578.77, 4,943.46 and 3,205.72 is: 4,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.77 : 4,943.46 = 3,205.72 : x
  2. Step 2: Convert to fraction form
    3,578.77/4,943.46 = 3,205.72/x
  3. Step 3: Cross multiply
    3,578.77x = 4,943.46 × 3,205.72
  4. Step 4: Simplify right side
    3,578.77x = 15,847,348.59
  5. Step 5: Solve for x
    x = 15,847,348.59/3,578.77
  6. Step 6: Final answer
    x = 4,428.16

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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.