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Finding the Fourth Proportional to 13,830.38, 19,086 and 7,542.62

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Solution

The fourth proportional to 13,830.38, 19,086 and 7,542.62 is: 10,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.38 : 19,086 = 7,542.62 : x
  2. Step 2: Convert to fraction form
    13,830.38/19,086 = 7,542.62/x
  3. Step 3: Cross multiply
    13,830.38x = 19,086 × 7,542.62
  4. Step 4: Simplify right side
    13,830.38x = 143,958,445.32
  5. Step 5: Solve for x
    x = 143,958,445.32/13,830.38
  6. Step 6: Final answer
    x = 10,408.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.