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Finding the Fourth Proportional to 4,157.96, 6,236.96 and 1,238.44

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Solution

The fourth proportional to 4,157.96, 6,236.96 and 1,238.44 is: 1,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.96 : 6,236.96 = 1,238.44 : x
  2. Step 2: Convert to fraction form
    4,157.96/6,236.96 = 1,238.44/x
  3. Step 3: Cross multiply
    4,157.96x = 6,236.96 × 1,238.44
  4. Step 4: Simplify right side
    4,157.96x = 7,724,100.74
  5. Step 5: Solve for x
    x = 7,724,100.74/4,157.96
  6. Step 6: Final answer
    x = 1,857.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.