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Finding the Fourth Proportional to 3,135.56, 4,704.15 and 914.34

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Solution

The fourth proportional to 3,135.56, 4,704.15 and 914.34 is: 1,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.56 : 4,704.15 = 914.34 : x
  2. Step 2: Convert to fraction form
    3,135.56/4,704.15 = 914.34/x
  3. Step 3: Cross multiply
    3,135.56x = 4,704.15 × 914.34
  4. Step 4: Simplify right side
    3,135.56x = 4,301,195.94
  5. Step 5: Solve for x
    x = 4,301,195.94/3,135.56
  6. Step 6: Final answer
    x = 1,371.75

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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.