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Finding the Fourth Proportional to 5,890.94, 8,129.40 and 3,238.46

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Solution

The fourth proportional to 5,890.94, 8,129.40 and 3,238.46 is: 4,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.94 : 8,129.40 = 3,238.46 : x
  2. Step 2: Convert to fraction form
    5,890.94/8,129.40 = 3,238.46/x
  3. Step 3: Cross multiply
    5,890.94x = 8,129.40 × 3,238.46
  4. Step 4: Simplify right side
    5,890.94x = 26,326,736.72
  5. Step 5: Solve for x
    x = 26,326,736.72/5,890.94
  6. Step 6: Final answer
    x = 4,469.02

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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.