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Finding the Fourth Proportional to 5,333.62, 8,000.43 and 1,438.42

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Solution

The fourth proportional to 5,333.62, 8,000.43 and 1,438.42 is: 2,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.62 : 8,000.43 = 1,438.42 : x
  2. Step 2: Convert to fraction form
    5,333.62/8,000.43 = 1,438.42/x
  3. Step 3: Cross multiply
    5,333.62x = 8,000.43 × 1,438.42
  4. Step 4: Simplify right side
    5,333.62x = 11,507,978.52
  5. Step 5: Solve for x
    x = 11,507,978.52/5,333.62
  6. Step 6: Final answer
    x = 2,157.63

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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.