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Finding the Fourth Proportional to 5,890.41, 8,128.87 and 3,237.81

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Solution

The fourth proportional to 5,890.41, 8,128.87 and 3,237.81 is: 4,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.41 : 8,128.87 = 3,237.81 : x
  2. Step 2: Convert to fraction form
    5,890.41/8,128.87 = 3,237.81/x
  3. Step 3: Cross multiply
    5,890.41x = 8,128.87 × 3,237.81
  4. Step 4: Simplify right side
    5,890.41x = 26,319,736.57
  5. Step 5: Solve for x
    x = 26,319,736.57/5,890.41
  6. Step 6: Final answer
    x = 4,468.24

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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.