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Finding the Fourth Proportional to 3,893.42, 5,840.90 and 1,428.26

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Solution

The fourth proportional to 3,893.42, 5,840.90 and 1,428.26 is: 2,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.42 : 5,840.90 = 1,428.26 : x
  2. Step 2: Convert to fraction form
    3,893.42/5,840.90 = 1,428.26/x
  3. Step 3: Cross multiply
    3,893.42x = 5,840.90 × 1,428.26
  4. Step 4: Simplify right side
    3,893.42x = 8,342,311.18
  5. Step 5: Solve for x
    x = 8,342,311.18/3,893.42
  6. Step 6: Final answer
    x = 2,142.67

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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.