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Finding the Fourth Proportional to 5,911.30, 8,157.42 and 3,815.44

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Solution

The fourth proportional to 5,911.30, 8,157.42 and 3,815.44 is: 5,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.30 : 8,157.42 = 3,815.44 : x
  2. Step 2: Convert to fraction form
    5,911.30/8,157.42 = 3,815.44/x
  3. Step 3: Cross multiply
    5,911.30x = 8,157.42 × 3,815.44
  4. Step 4: Simplify right side
    5,911.30x = 31,124,146.56
  5. Step 5: Solve for x
    x = 31,124,146.56/5,911.30
  6. Step 6: Final answer
    x = 5,265.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.