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Finding the Fourth Proportional to 4,800.72, 7,202.16 and 1,880.96

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Solution

The fourth proportional to 4,800.72, 7,202.16 and 1,880.96 is: 2,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.72 : 7,202.16 = 1,880.96 : x
  2. Step 2: Convert to fraction form
    4,800.72/7,202.16 = 1,880.96/x
  3. Step 3: Cross multiply
    4,800.72x = 7,202.16 × 1,880.96
  4. Step 4: Simplify right side
    4,800.72x = 13,546,974.87
  5. Step 5: Solve for x
    x = 13,546,974.87/4,800.72
  6. Step 6: Final answer
    x = 2,821.86

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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.