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Finding the Fourth Proportional to 4,942.62, 7,411.50 and 2,168.10

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Solution

The fourth proportional to 4,942.62, 7,411.50 and 2,168.10 is: 3,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.62 : 7,411.50 = 2,168.10 : x
  2. Step 2: Convert to fraction form
    4,942.62/7,411.50 = 2,168.10/x
  3. Step 3: Cross multiply
    4,942.62x = 7,411.50 × 2,168.10
  4. Step 4: Simplify right side
    4,942.62x = 16,068,873.15
  5. Step 5: Solve for x
    x = 16,068,873.15/4,942.62
  6. Step 6: Final answer
    x = 3,251.08

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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.