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Finding the Fourth Proportional to 6,539.88, 9,811.44 and 5,371.86

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Solution

The fourth proportional to 6,539.88, 9,811.44 and 5,371.86 is: 8,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.88 : 9,811.44 = 5,371.86 : x
  2. Step 2: Convert to fraction form
    6,539.88/9,811.44 = 5,371.86/x
  3. Step 3: Cross multiply
    6,539.88x = 9,811.44 × 5,371.86
  4. Step 4: Simplify right side
    6,539.88x = 52,705,682.08
  5. Step 5: Solve for x
    x = 52,705,682.08/6,539.88
  6. Step 6: Final answer
    x = 8,059.12

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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.