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Finding the Fourth Proportional to 3,771.09, 5,656.14 and 997.97

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Solution

The fourth proportional to 3,771.09, 5,656.14 and 997.97 is: 1,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.09 : 5,656.14 = 997.97 : x
  2. Step 2: Convert to fraction form
    3,771.09/5,656.14 = 997.97/x
  3. Step 3: Cross multiply
    3,771.09x = 5,656.14 × 997.97
  4. Step 4: Simplify right side
    3,771.09x = 5,644,629.76
  5. Step 5: Solve for x
    x = 5,644,629.76/3,771.09
  6. Step 6: Final answer
    x = 1,496.82

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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.