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Finding the Fourth Proportional to 13,956, 20,934 and 5,639.68

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Solution

The fourth proportional to 13,956, 20,934 and 5,639.68 is: 8,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956 : 20,934 = 5,639.68 : x
  2. Step 2: Convert to fraction form
    13,956/20,934 = 5,639.68/x
  3. Step 3: Cross multiply
    13,956x = 20,934 × 5,639.68
  4. Step 4: Simplify right side
    13,956x = 118,061,061.12
  5. Step 5: Solve for x
    x = 118,061,061.12/13,956
  6. Step 6: Final answer
    x = 8,459.52

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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.