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Finding the Fourth Proportional to 13,940, 20,910 and 5,732

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Solution

The fourth proportional to 13,940, 20,910 and 5,732 is: 8,598

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940 : 20,910 = 5,732 : x
  2. Step 2: Convert to fraction form
    13,940/20,910 = 5,732/x
  3. Step 3: Cross multiply
    13,940x = 20,910 × 5,732
  4. Step 4: Simplify right side
    13,940x = 119,856,120
  5. Step 5: Solve for x
    x = 119,856,120/13,940
  6. Step 6: Final answer
    x = 8,598

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.