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Finding the Fourth Proportional to 5,958.90, 8,940.78 and 4,787.64

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Solution

The fourth proportional to 5,958.90, 8,940.78 and 4,787.64 is: 7,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.90 : 8,940.78 = 4,787.64 : x
  2. Step 2: Convert to fraction form
    5,958.90/8,940.78 = 4,787.64/x
  3. Step 3: Cross multiply
    5,958.90x = 8,940.78 × 4,787.64
  4. Step 4: Simplify right side
    5,958.90x = 42,805,235.96
  5. Step 5: Solve for x
    x = 42,805,235.96/5,958.90
  6. Step 6: Final answer
    x = 7,183.41

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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.