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Finding the Fourth Proportional to 3,846.87, 5,323.64 and 3,782.07

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Solution

The fourth proportional to 3,846.87, 5,323.64 and 3,782.07 is: 5,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.87 : 5,323.64 = 3,782.07 : x
  2. Step 2: Convert to fraction form
    3,846.87/5,323.64 = 3,782.07/x
  3. Step 3: Cross multiply
    3,846.87x = 5,323.64 × 3,782.07
  4. Step 4: Simplify right side
    3,846.87x = 20,134,360.22
  5. Step 5: Solve for x
    x = 20,134,360.22/3,846.87
  6. Step 6: Final answer
    x = 5,233.96

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1.5x scale

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.