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Finding the Fourth Proportional to 3,758.75, 5,638.74 and 1,260.44

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Solution

The fourth proportional to 3,758.75, 5,638.74 and 1,260.44 is: 1,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.75 : 5,638.74 = 1,260.44 : x
  2. Step 2: Convert to fraction form
    3,758.75/5,638.74 = 1,260.44/x
  3. Step 3: Cross multiply
    3,758.75x = 5,638.74 × 1,260.44
  4. Step 4: Simplify right side
    3,758.75x = 7,107,293.45
  5. Step 5: Solve for x
    x = 7,107,293.45/3,758.75
  6. Step 6: Final answer
    x = 1,890.87

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1.5x scale

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.