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Finding the Fourth Proportional to 4,740, 7,105.22 and 1,968.21

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Solution

The fourth proportional to 4,740, 7,105.22 and 1,968.21 is: 2,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740 : 7,105.22 = 1,968.21 : x
  2. Step 2: Convert to fraction form
    4,740/7,105.22 = 1,968.21/x
  3. Step 3: Cross multiply
    4,740x = 7,105.22 × 1,968.21
  4. Step 4: Simplify right side
    4,740x = 13,984,555.22
  5. Step 5: Solve for x
    x = 13,984,555.22/4,740
  6. Step 6: Final answer
    x = 2,950.33

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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.