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Finding the Fourth Proportional to 5,687.75, 8,531.36 and 1,990.81

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Solution

The fourth proportional to 5,687.75, 8,531.36 and 1,990.81 is: 2,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.75 : 8,531.36 = 1,990.81 : x
  2. Step 2: Convert to fraction form
    5,687.75/8,531.36 = 1,990.81/x
  3. Step 3: Cross multiply
    5,687.75x = 8,531.36 × 1,990.81
  4. Step 4: Simplify right side
    5,687.75x = 16,984,264.19
  5. Step 5: Solve for x
    x = 16,984,264.19/5,687.75
  6. Step 6: Final answer
    x = 2,986.12

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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.