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Finding the Fourth Proportional to 5,690.55, 8,535.82 and 1,991.90

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Solution

The fourth proportional to 5,690.55, 8,535.82 and 1,991.90 is: 2,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.55 : 8,535.82 = 1,991.90 : x
  2. Step 2: Convert to fraction form
    5,690.55/8,535.82 = 1,991.90/x
  3. Step 3: Cross multiply
    5,690.55x = 8,535.82 × 1,991.90
  4. Step 4: Simplify right side
    5,690.55x = 17,002,499.86
  5. Step 5: Solve for x
    x = 17,002,499.86/5,690.55
  6. Step 6: Final answer
    x = 2,987.85

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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.