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Finding the Fourth Proportional to 3,783.75, 5,222 and 2,168.81

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Solution

The fourth proportional to 3,783.75, 5,222 and 2,168.81 is: 2,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.75 : 5,222 = 2,168.81 : x
  2. Step 2: Convert to fraction form
    3,783.75/5,222 = 2,168.81/x
  3. Step 3: Cross multiply
    3,783.75x = 5,222 × 2,168.81
  4. Step 4: Simplify right side
    3,783.75x = 11,325,525.82
  5. Step 5: Solve for x
    x = 11,325,525.82/3,783.75
  6. Step 6: Final answer
    x = 2,993.20

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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.