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Finding the Fourth Proportional to 3,887.96, 5,361.06 and 3,047.16

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Solution

The fourth proportional to 3,887.96, 5,361.06 and 3,047.16 is: 4,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.96 : 5,361.06 = 3,047.16 : x
  2. Step 2: Convert to fraction form
    3,887.96/5,361.06 = 3,047.16/x
  3. Step 3: Cross multiply
    3,887.96x = 5,361.06 × 3,047.16
  4. Step 4: Simplify right side
    3,887.96x = 16,336,007.59
  5. Step 5: Solve for x
    x = 16,336,007.59/3,887.96
  6. Step 6: Final answer
    x = 4,201.69

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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.