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Finding the Fourth Proportional to 7,539.87, 11,315.96 and 3,843.16

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Solution

The fourth proportional to 7,539.87, 11,315.96 and 3,843.16 is: 5,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.87 : 11,315.96 = 3,843.16 : x
  2. Step 2: Convert to fraction form
    7,539.87/11,315.96 = 3,843.16/x
  3. Step 3: Cross multiply
    7,539.87x = 11,315.96 × 3,843.16
  4. Step 4: Simplify right side
    7,539.87x = 43,489,011.74
  5. Step 5: Solve for x
    x = 43,489,011.74/7,539.87
  6. Step 6: Final answer
    x = 5,767.87

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