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Finding the Fourth Proportional to 38,400, 57,600 and 9,216

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Solution

The fourth proportional to 38,400, 57,600 and 9,216 is: 13,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 57,600 = 9,216 : x
  2. Step 2: Convert to fraction form
    38,400/57,600 = 9,216/x
  3. Step 3: Cross multiply
    38,400x = 57,600 × 9,216
  4. Step 4: Simplify right side
    38,400x = 530,841,600
  5. Step 5: Solve for x
    x = 530,841,600/38,400
  6. Step 6: Final answer
    x = 13,824

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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.