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Finding the Fourth Proportional to 4,940, 7,411.72 and 2,474.27

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Solution

The fourth proportional to 4,940, 7,411.72 and 2,474.27 is: 3,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940 : 7,411.72 = 2,474.27 : x
  2. Step 2: Convert to fraction form
    4,940/7,411.72 = 2,474.27/x
  3. Step 3: Cross multiply
    4,940x = 7,411.72 × 2,474.27
  4. Step 4: Simplify right side
    4,940x = 18,338,596.44
  5. Step 5: Solve for x
    x = 18,338,596.44/4,940
  6. Step 6: Final answer
    x = 3,712.27

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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.