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Finding the Fourth Proportional to 13,952, 20,928 and 4,224

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Solution

The fourth proportional to 13,952, 20,928 and 4,224 is: 6,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952 : 20,928 = 4,224 : x
  2. Step 2: Convert to fraction form
    13,952/20,928 = 4,224/x
  3. Step 3: Cross multiply
    13,952x = 20,928 × 4,224
  4. Step 4: Simplify right side
    13,952x = 88,399,872
  5. Step 5: Solve for x
    x = 88,399,872/13,952
  6. Step 6: Final answer
    x = 6,336

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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.