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Finding the Fourth Proportional to 5,890.13, 8,128.38 and 3,237.48

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Solution

The fourth proportional to 5,890.13, 8,128.38 and 3,237.48 is: 4,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.13 : 8,128.38 = 3,237.48 : x
  2. Step 2: Convert to fraction form
    5,890.13/8,128.38 = 3,237.48/x
  3. Step 3: Cross multiply
    5,890.13x = 8,128.38 × 3,237.48
  4. Step 4: Simplify right side
    5,890.13x = 26,315,479.82
  5. Step 5: Solve for x
    x = 26,315,479.82/5,890.13
  6. Step 6: Final answer
    x = 4,467.73

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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.