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Finding the Fourth Proportional to 4,788.62, 7,180.43 and 2,153.84

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Solution

The fourth proportional to 4,788.62, 7,180.43 and 2,153.84 is: 3,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.62 : 7,180.43 = 2,153.84 : x
  2. Step 2: Convert to fraction form
    4,788.62/7,180.43 = 2,153.84/x
  3. Step 3: Cross multiply
    4,788.62x = 7,180.43 × 2,153.84
  4. Step 4: Simplify right side
    4,788.62x = 15,465,458.76
  5. Step 5: Solve for x
    x = 15,465,458.76/4,788.62
  6. Step 6: Final answer
    x = 3,229.63

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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.