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Finding the Fourth Proportional to 4,890, 7,334.88 and 2,942.64

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Solution

The fourth proportional to 4,890, 7,334.88 and 2,942.64 is: 4,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890 : 7,334.88 = 2,942.64 : x
  2. Step 2: Convert to fraction form
    4,890/7,334.88 = 2,942.64/x
  3. Step 3: Cross multiply
    4,890x = 7,334.88 × 2,942.64
  4. Step 4: Simplify right side
    4,890x = 21,583,911.28
  5. Step 5: Solve for x
    x = 21,583,911.28/4,890
  6. Step 6: Final answer
    x = 4,413.89

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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.