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Finding the Fourth Proportional to 3,105.99, 4,659.66 and 914.54

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Solution

The fourth proportional to 3,105.99, 4,659.66 and 914.54 is: 1,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.99 : 4,659.66 = 914.54 : x
  2. Step 2: Convert to fraction form
    3,105.99/4,659.66 = 914.54/x
  3. Step 3: Cross multiply
    3,105.99x = 4,659.66 × 914.54
  4. Step 4: Simplify right side
    3,105.99x = 4,261,422.16
  5. Step 5: Solve for x
    x = 4,261,422.16/3,105.99
  6. Step 6: Final answer
    x = 1,372.00

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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.