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Finding the Fourth Proportional to 13,849, 20,773.50 and 5,641

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Solution

The fourth proportional to 13,849, 20,773.50 and 5,641 is: 8,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849 : 20,773.50 = 5,641 : x
  2. Step 2: Convert to fraction form
    13,849/20,773.50 = 5,641/x
  3. Step 3: Cross multiply
    13,849x = 20,773.50 × 5,641
  4. Step 4: Simplify right side
    13,849x = 117,183,313.50
  5. Step 5: Solve for x
    x = 117,183,313.50/13,849
  6. Step 6: Final answer
    x = 8,461.50

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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.