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Finding the Fourth Proportional to 3,847.56, 5,773.50 and 1,539.24

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Solution

The fourth proportional to 3,847.56, 5,773.50 and 1,539.24 is: 2,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.56 : 5,773.50 = 1,539.24 : x
  2. Step 2: Convert to fraction form
    3,847.56/5,773.50 = 1,539.24/x
  3. Step 3: Cross multiply
    3,847.56x = 5,773.50 × 1,539.24
  4. Step 4: Simplify right side
    3,847.56x = 8,886,802.14
  5. Step 5: Solve for x
    x = 8,886,802.14/3,847.56
  6. Step 6: Final answer
    x = 2,309.72

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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.