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Finding the Fourth Proportional to 3,850.68, 5,729.91 and 3,837.72

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Solution

The fourth proportional to 3,850.68, 5,729.91 and 3,837.72 is: 5,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.68 : 5,729.91 = 3,837.72 : x
  2. Step 2: Convert to fraction form
    3,850.68/5,729.91 = 3,837.72/x
  3. Step 3: Cross multiply
    3,850.68x = 5,729.91 × 3,837.72
  4. Step 4: Simplify right side
    3,850.68x = 21,989,790.21
  5. Step 5: Solve for x
    x = 21,989,790.21/3,850.68
  6. Step 6: Final answer
    x = 5,710.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.