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Finding the Fourth Proportional to 13,842, 20,771.64 and 5,634

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Solution

The fourth proportional to 13,842, 20,771.64 and 5,634 is: 8,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842 : 20,771.64 = 5,634 : x
  2. Step 2: Convert to fraction form
    13,842/20,771.64 = 5,634/x
  3. Step 3: Cross multiply
    13,842x = 20,771.64 × 5,634
  4. Step 4: Simplify right side
    13,842x = 117,027,419.76
  5. Step 5: Solve for x
    x = 117,027,419.76/13,842
  6. Step 6: Final answer
    x = 8,454.52

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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.