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Finding the Fourth Proportional to 3,161.14, 4,741.30 and 969.69

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Solution

The fourth proportional to 3,161.14, 4,741.30 and 969.69 is: 1,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.14 : 4,741.30 = 969.69 : x
  2. Step 2: Convert to fraction form
    3,161.14/4,741.30 = 969.69/x
  3. Step 3: Cross multiply
    3,161.14x = 4,741.30 × 969.69
  4. Step 4: Simplify right side
    3,161.14x = 4,597,583.52
  5. Step 5: Solve for x
    x = 4,597,583.52/3,161.14
  6. Step 6: Final answer
    x = 1,454.41

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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.