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Finding the Fourth Proportional to 4,161, 6,222.72 and 3,174.12

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Solution

The fourth proportional to 4,161, 6,222.72 and 3,174.12 is: 4,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161 : 6,222.72 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    4,161/6,222.72 = 3,174.12/x
  3. Step 3: Cross multiply
    4,161x = 6,222.72 × 3,174.12
  4. Step 4: Simplify right side
    4,161x = 19,751,660.01
  5. Step 5: Solve for x
    x = 19,751,660.01/4,161
  6. Step 6: Final answer
    x = 4,746.85

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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.