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Finding the Fourth Proportional to 2,998, 4,137.24 and 1,756

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Solution

The fourth proportional to 2,998, 4,137.24 and 1,756 is: 2,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998 : 4,137.24 = 1,756 : x
  2. Step 2: Convert to fraction form
    2,998/4,137.24 = 1,756/x
  3. Step 3: Cross multiply
    2,998x = 4,137.24 × 1,756
  4. Step 4: Simplify right side
    2,998x = 7,264,993.44
  5. Step 5: Solve for x
    x = 7,264,993.44/2,998
  6. Step 6: Final answer
    x = 2,423.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.