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Finding the Fourth Proportional to 13,648, 20,472 and 3,920

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Solution

The fourth proportional to 13,648, 20,472 and 3,920 is: 5,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648 : 20,472 = 3,920 : x
  2. Step 2: Convert to fraction form
    13,648/20,472 = 3,920/x
  3. Step 3: Cross multiply
    13,648x = 20,472 × 3,920
  4. Step 4: Simplify right side
    13,648x = 80,250,240
  5. Step 5: Solve for x
    x = 80,250,240/13,648
  6. Step 6: Final answer
    x = 5,880

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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.