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Finding the Fourth Proportional to 3,172.46, 4,757.21 and 1,418

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Solution

The fourth proportional to 3,172.46, 4,757.21 and 1,418 is: 2,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.46 : 4,757.21 = 1,418 : x
  2. Step 2: Convert to fraction form
    3,172.46/4,757.21 = 1,418/x
  3. Step 3: Cross multiply
    3,172.46x = 4,757.21 × 1,418
  4. Step 4: Simplify right side
    3,172.46x = 6,745,716.69
  5. Step 5: Solve for x
    x = 6,745,716.69/3,172.46
  6. Step 6: Final answer
    x = 2,126.34

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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.