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Finding the Fourth Proportional to 6,941.97, 9,579.84 and 3,957.80

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Solution

The fourth proportional to 6,941.97, 9,579.84 and 3,957.80 is: 5,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.97 : 9,579.84 = 3,957.80 : x
  2. Step 2: Convert to fraction form
    6,941.97/9,579.84 = 3,957.80/x
  3. Step 3: Cross multiply
    6,941.97x = 9,579.84 × 3,957.80
  4. Step 4: Simplify right side
    6,941.97x = 37,915,028.01
  5. Step 5: Solve for x
    x = 37,915,028.01/6,941.97
  6. Step 6: Final answer
    x = 5,461.71

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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.