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Finding the Fourth Proportional to 5,890.88, 8,129.40 and 3,238.43

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Solution

The fourth proportional to 5,890.88, 8,129.40 and 3,238.43 is: 4,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.88 : 8,129.40 = 3,238.43 : x
  2. Step 2: Convert to fraction form
    5,890.88/8,129.40 = 3,238.43/x
  3. Step 3: Cross multiply
    5,890.88x = 8,129.40 × 3,238.43
  4. Step 4: Simplify right side
    5,890.88x = 26,326,492.84
  5. Step 5: Solve for x
    x = 26,326,492.84/5,890.88
  6. Step 6: Final answer
    x = 4,469.03

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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.