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Finding the Fourth Proportional to 5,890.50, 8,128.87 and 3,238.08

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Solution

The fourth proportional to 5,890.50, 8,128.87 and 3,238.08 is: 4,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.50 : 8,128.87 = 3,238.08 : x
  2. Step 2: Convert to fraction form
    5,890.50/8,128.87 = 3,238.08/x
  3. Step 3: Cross multiply
    5,890.50x = 8,128.87 × 3,238.08
  4. Step 4: Simplify right side
    5,890.50x = 26,321,931.37
  5. Step 5: Solve for x
    x = 26,321,931.37/5,890.50
  6. Step 6: Final answer
    x = 4,468.54

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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.