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Finding the Fourth Proportional to 5,338, 8,007 and 1,442.41

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Solution

The fourth proportional to 5,338, 8,007 and 1,442.41 is: 2,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338 : 8,007 = 1,442.41 : x
  2. Step 2: Convert to fraction form
    5,338/8,007 = 1,442.41/x
  3. Step 3: Cross multiply
    5,338x = 8,007 × 1,442.41
  4. Step 4: Simplify right side
    5,338x = 11,549,376.87
  5. Step 5: Solve for x
    x = 11,549,376.87/5,338
  6. Step 6: Final answer
    x = 2,163.62

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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.