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Finding the Fourth Proportional to 4,740, 7,110 and 1,662

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Solution

The fourth proportional to 4,740, 7,110 and 1,662 is: 2,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740 : 7,110 = 1,662 : x
  2. Step 2: Convert to fraction form
    4,740/7,110 = 1,662/x
  3. Step 3: Cross multiply
    4,740x = 7,110 × 1,662
  4. Step 4: Simplify right side
    4,740x = 11,816,820
  5. Step 5: Solve for x
    x = 11,816,820/4,740
  6. Step 6: Final answer
    x = 2,493

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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.