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Finding the Fourth Proportional to 2,782.92, 4,146.39 and 2,742.84

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Solution

The fourth proportional to 2,782.92, 4,146.39 and 2,742.84 is: 4,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.92 : 4,146.39 = 2,742.84 : x
  2. Step 2: Convert to fraction form
    2,782.92/4,146.39 = 2,742.84/x
  3. Step 3: Cross multiply
    2,782.92x = 4,146.39 × 2,742.84
  4. Step 4: Simplify right side
    2,782.92x = 11,372,884.35
  5. Step 5: Solve for x
    x = 11,372,884.35/2,782.92
  6. Step 6: Final answer
    x = 4,086.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.