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Finding the Fourth Proportional to 5,687.97, 7,844.49 and 3,697.80

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Solution

The fourth proportional to 5,687.97, 7,844.49 and 3,697.80 is: 5,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.97 : 7,844.49 = 3,697.80 : x
  2. Step 2: Convert to fraction form
    5,687.97/7,844.49 = 3,697.80/x
  3. Step 3: Cross multiply
    5,687.97x = 7,844.49 × 3,697.80
  4. Step 4: Simplify right side
    5,687.97x = 29,007,355.12
  5. Step 5: Solve for x
    x = 29,007,355.12/5,687.97
  6. Step 6: Final answer
    x = 5,099.77

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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.