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Finding the Fourth Proportional to 6,539.86, 9,809.87 and 1,859.86

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Solution

The fourth proportional to 6,539.86, 9,809.87 and 1,859.86 is: 2,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.86 : 9,809.87 = 1,859.86 : x
  2. Step 2: Convert to fraction form
    6,539.86/9,809.87 = 1,859.86/x
  3. Step 3: Cross multiply
    6,539.86x = 9,809.87 × 1,859.86
  4. Step 4: Simplify right side
    6,539.86x = 18,244,984.82
  5. Step 5: Solve for x
    x = 18,244,984.82/6,539.86
  6. Step 6: Final answer
    x = 2,789.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.