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Finding the Fourth Proportional to 2,930.85, 4,396.74 and 955.83

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Solution

The fourth proportional to 2,930.85, 4,396.74 and 955.83 is: 1,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.85 : 4,396.74 = 955.83 : x
  2. Step 2: Convert to fraction form
    2,930.85/4,396.74 = 955.83/x
  3. Step 3: Cross multiply
    2,930.85x = 4,396.74 × 955.83
  4. Step 4: Simplify right side
    2,930.85x = 4,202,535.99
  5. Step 5: Solve for x
    x = 4,202,535.99/2,930.85
  6. Step 6: Final answer
    x = 1,433.90

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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.