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Finding the Fourth Proportional to 3,945.83, 5,904.14 and 3,245.99

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Solution

The fourth proportional to 3,945.83, 5,904.14 and 3,245.99 is: 4,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.83 : 5,904.14 = 3,245.99 : x
  2. Step 2: Convert to fraction form
    3,945.83/5,904.14 = 3,245.99/x
  3. Step 3: Cross multiply
    3,945.83x = 5,904.14 × 3,245.99
  4. Step 4: Simplify right side
    3,945.83x = 19,164,733.65
  5. Step 5: Solve for x
    x = 19,164,733.65/3,945.83
  6. Step 6: Final answer
    x = 4,856.96

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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.