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Finding the Fourth Proportional to 5,687.42, 8,531.53 and 1,990.58

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Solution

The fourth proportional to 5,687.42, 8,531.53 and 1,990.58 is: 2,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.42 : 8,531.53 = 1,990.58 : x
  2. Step 2: Convert to fraction form
    5,687.42/8,531.53 = 1,990.58/x
  3. Step 3: Cross multiply
    5,687.42x = 8,531.53 × 1,990.58
  4. Step 4: Simplify right side
    5,687.42x = 16,982,645.35
  5. Step 5: Solve for x
    x = 16,982,645.35/5,687.42
  6. Step 6: Final answer
    x = 2,986.00

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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.