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Finding the Fourth Proportional to 4,757.74, 7,131.14 and 1,982.98

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Solution

The fourth proportional to 4,757.74, 7,131.14 and 1,982.98 is: 2,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.74 : 7,131.14 = 1,982.98 : x
  2. Step 2: Convert to fraction form
    4,757.74/7,131.14 = 1,982.98/x
  3. Step 3: Cross multiply
    4,757.74x = 7,131.14 × 1,982.98
  4. Step 4: Simplify right side
    4,757.74x = 14,140,914.43
  5. Step 5: Solve for x
    x = 14,140,914.43/4,757.74
  6. Step 6: Final answer
    x = 2,972.19

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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.