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Finding the Fourth Proportional to 2,156.87, 3,234.29 and 986.54

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Solution

The fourth proportional to 2,156.87, 3,234.29 and 986.54 is: 1,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.87 : 3,234.29 = 986.54 : x
  2. Step 2: Convert to fraction form
    2,156.87/3,234.29 = 986.54/x
  3. Step 3: Cross multiply
    2,156.87x = 3,234.29 × 986.54
  4. Step 4: Simplify right side
    2,156.87x = 3,190,735.35
  5. Step 5: Solve for x
    x = 3,190,735.35/2,156.87
  6. Step 6: Final answer
    x = 1,479.34

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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.