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Finding the Fourth Proportional to 3,892.68, 5,367.06 and 3,143.88

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Solution

The fourth proportional to 3,892.68, 5,367.06 and 3,143.88 is: 4,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.68 : 5,367.06 = 3,143.88 : x
  2. Step 2: Convert to fraction form
    3,892.68/5,367.06 = 3,143.88/x
  3. Step 3: Cross multiply
    3,892.68x = 5,367.06 × 3,143.88
  4. Step 4: Simplify right side
    3,892.68x = 16,873,392.59
  5. Step 5: Solve for x
    x = 16,873,392.59/3,892.68
  6. Step 6: Final answer
    x = 4,334.65

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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.