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Finding the Fourth Proportional to 5,379.54, 8,064.42 and 1,915.98

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Solution

The fourth proportional to 5,379.54, 8,064.42 and 1,915.98 is: 2,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.54 : 8,064.42 = 1,915.98 : x
  2. Step 2: Convert to fraction form
    5,379.54/8,064.42 = 1,915.98/x
  3. Step 3: Cross multiply
    5,379.54x = 8,064.42 × 1,915.98
  4. Step 4: Simplify right side
    5,379.54x = 15,451,267.43
  5. Step 5: Solve for x
    x = 15,451,267.43/5,379.54
  6. Step 6: Final answer
    x = 2,872.23

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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.