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Finding the Fourth Proportional to 6,125, 8,446.50 and 3,735.24

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Solution

The fourth proportional to 6,125, 8,446.50 and 3,735.24 is: 5,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125 : 8,446.50 = 3,735.24 : x
  2. Step 2: Convert to fraction form
    6,125/8,446.50 = 3,735.24/x
  3. Step 3: Cross multiply
    6,125x = 8,446.50 × 3,735.24
  4. Step 4: Simplify right side
    6,125x = 31,549,704.66
  5. Step 5: Solve for x
    x = 31,549,704.66/6,125
  6. Step 6: Final answer
    x = 5,150.97

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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.