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Finding the Fourth Proportional to 5,687.68, 8,532.31 and 1,989.07

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Solution

The fourth proportional to 5,687.68, 8,532.31 and 1,989.07 is: 2,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.68 : 8,532.31 = 1,989.07 : x
  2. Step 2: Convert to fraction form
    5,687.68/8,532.31 = 1,989.07/x
  3. Step 3: Cross multiply
    5,687.68x = 8,532.31 × 1,989.07
  4. Step 4: Simplify right side
    5,687.68x = 16,971,361.85
  5. Step 5: Solve for x
    x = 16,971,361.85/5,687.68
  6. Step 6: Final answer
    x = 2,983.88

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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.