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Finding the Fourth Proportional to 3,468.94, 4,786.88 and 2,142.67

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Solution

The fourth proportional to 3,468.94, 4,786.88 and 2,142.67 is: 2,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.94 : 4,786.88 = 2,142.67 : x
  2. Step 2: Convert to fraction form
    3,468.94/4,786.88 = 2,142.67/x
  3. Step 3: Cross multiply
    3,468.94x = 4,786.88 × 2,142.67
  4. Step 4: Simplify right side
    3,468.94x = 10,256,709.53
  5. Step 5: Solve for x
    x = 10,256,709.53/3,468.94
  6. Step 6: Final answer
    x = 2,956.73

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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.