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Finding the Fourth Proportional to 2,930.89, 4,396.34 and 878.89

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Solution

The fourth proportional to 2,930.89, 4,396.34 and 878.89 is: 1,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.89 : 4,396.34 = 878.89 : x
  2. Step 2: Convert to fraction form
    2,930.89/4,396.34 = 878.89/x
  3. Step 3: Cross multiply
    2,930.89x = 4,396.34 × 878.89
  4. Step 4: Simplify right side
    2,930.89x = 3,863,894.87
  5. Step 5: Solve for x
    x = 3,863,894.87/2,930.89
  6. Step 6: Final answer
    x = 1,318.34

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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.