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Finding the Fourth Proportional to 7,687.87, 11,522.84 and 3,528.32

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Solution

The fourth proportional to 7,687.87, 11,522.84 and 3,528.32 is: 5,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.87 : 11,522.84 = 3,528.32 : x
  2. Step 2: Convert to fraction form
    7,687.87/11,522.84 = 3,528.32/x
  3. Step 3: Cross multiply
    7,687.87x = 11,522.84 × 3,528.32
  4. Step 4: Simplify right side
    7,687.87x = 40,656,211.42
  5. Step 5: Solve for x
    x = 40,656,211.42/7,687.87
  6. Step 6: Final answer
    x = 5,288.36

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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.