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Finding the Fourth Proportional to 5,687.74, 8,531.34 and 1,989.82

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Solution

The fourth proportional to 5,687.74, 8,531.34 and 1,989.82 is: 2,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.74 : 8,531.34 = 1,989.82 : x
  2. Step 2: Convert to fraction form
    5,687.74/8,531.34 = 1,989.82/x
  3. Step 3: Cross multiply
    5,687.74x = 8,531.34 × 1,989.82
  4. Step 4: Simplify right side
    5,687.74x = 16,975,830.96
  5. Step 5: Solve for x
    x = 16,975,830.96/5,687.74
  6. Step 6: Final answer
    x = 2,984.64

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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.