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Finding the Fourth Proportional to 51,200, 76,800 and 12,288

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Solution

The fourth proportional to 51,200, 76,800 and 12,288 is: 18,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200 : 76,800 = 12,288 : x
  2. Step 2: Convert to fraction form
    51,200/76,800 = 12,288/x
  3. Step 3: Cross multiply
    51,200x = 76,800 × 12,288
  4. Step 4: Simplify right side
    51,200x = 943,718,400
  5. Step 5: Solve for x
    x = 943,718,400/51,200
  6. Step 6: Final answer
    x = 18,432

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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.