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Finding the Fourth Proportional to 1,752.89, 2,418.90 and 996.57

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Solution

The fourth proportional to 1,752.89, 2,418.90 and 996.57 is: 1,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.89 : 2,418.90 = 996.57 : x
  2. Step 2: Convert to fraction form
    1,752.89/2,418.90 = 996.57/x
  3. Step 3: Cross multiply
    1,752.89x = 2,418.90 × 996.57
  4. Step 4: Simplify right side
    1,752.89x = 2,410,592.14
  5. Step 5: Solve for x
    x = 2,410,592.14/1,752.89
  6. Step 6: Final answer
    x = 1,375.21

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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.