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Finding the Fourth Proportional to 5,424.85, 8,137.28 and 1,961.29

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Solution

The fourth proportional to 5,424.85, 8,137.28 and 1,961.29 is: 2,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.85 : 8,137.28 = 1,961.29 : x
  2. Step 2: Convert to fraction form
    5,424.85/8,137.28 = 1,961.29/x
  3. Step 3: Cross multiply
    5,424.85x = 8,137.28 × 1,961.29
  4. Step 4: Simplify right side
    5,424.85x = 15,959,565.89
  5. Step 5: Solve for x
    x = 15,959,565.89/5,424.85
  6. Step 6: Final answer
    x = 2,941.94

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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.