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Finding the Fourth Proportional to 3,758.75, 5,627.73 and 2,831.56

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Solution

The fourth proportional to 3,758.75, 5,627.73 and 2,831.56 is: 4,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.75 : 5,627.73 = 2,831.56 : x
  2. Step 2: Convert to fraction form
    3,758.75/5,627.73 = 2,831.56/x
  3. Step 3: Cross multiply
    3,758.75x = 5,627.73 × 2,831.56
  4. Step 4: Simplify right side
    3,758.75x = 15,935,235.78
  5. Step 5: Solve for x
    x = 15,935,235.78/3,758.75
  6. Step 6: Final answer
    x = 4,239.50

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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.