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Finding the Fourth Proportional to 5,311.53, 7,971.11 and 3,559.88

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Solution

The fourth proportional to 5,311.53, 7,971.11 and 3,559.88 is: 5,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.53 : 7,971.11 = 3,559.88 : x
  2. Step 2: Convert to fraction form
    5,311.53/7,971.11 = 3,559.88/x
  3. Step 3: Cross multiply
    5,311.53x = 7,971.11 × 3,559.88
  4. Step 4: Simplify right side
    5,311.53x = 28,376,137.41
  5. Step 5: Solve for x
    x = 28,376,137.41/5,311.53
  6. Step 6: Final answer
    x = 5,342.37

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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.