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Finding the Fourth Proportional to 4,924.64, 7,374.80 and 3,819.80

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Solution

The fourth proportional to 4,924.64, 7,374.80 and 3,819.80 is: 5,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.64 : 7,374.80 = 3,819.80 : x
  2. Step 2: Convert to fraction form
    4,924.64/7,374.80 = 3,819.80/x
  3. Step 3: Cross multiply
    4,924.64x = 7,374.80 × 3,819.80
  4. Step 4: Simplify right side
    4,924.64x = 28,170,261.04
  5. Step 5: Solve for x
    x = 28,170,261.04/4,924.64
  6. Step 6: Final answer
    x = 5,720.27

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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.