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Finding the Fourth Proportional to 5,809.86, 8,017.72 and 3,291.91

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Solution

The fourth proportional to 5,809.86, 8,017.72 and 3,291.91 is: 4,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.86 : 8,017.72 = 3,291.91 : x
  2. Step 2: Convert to fraction form
    5,809.86/8,017.72 = 3,291.91/x
  3. Step 3: Cross multiply
    5,809.86x = 8,017.72 × 3,291.91
  4. Step 4: Simplify right side
    5,809.86x = 26,393,584.37
  5. Step 5: Solve for x
    x = 26,393,584.37/5,809.86
  6. Step 6: Final answer
    x = 4,542.90

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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.