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Finding the Fourth Proportional to 2,697.75, 3,720.28 and 1,753.80

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Solution

The fourth proportional to 2,697.75, 3,720.28 and 1,753.80 is: 2,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.75 : 3,720.28 = 1,753.80 : x
  2. Step 2: Convert to fraction form
    2,697.75/3,720.28 = 1,753.80/x
  3. Step 3: Cross multiply
    2,697.75x = 3,720.28 × 1,753.80
  4. Step 4: Simplify right side
    2,697.75x = 6,524,627.06
  5. Step 5: Solve for x
    x = 6,524,627.06/2,697.75
  6. Step 6: Final answer
    x = 2,418.54

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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.