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Finding the Fourth Proportional to 22,400, 33,600 and 7,808

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Solution

The fourth proportional to 22,400, 33,600 and 7,808 is: 11,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400 : 33,600 = 7,808 : x
  2. Step 2: Convert to fraction form
    22,400/33,600 = 7,808/x
  3. Step 3: Cross multiply
    22,400x = 33,600 × 7,808
  4. Step 4: Simplify right side
    22,400x = 262,348,800
  5. Step 5: Solve for x
    x = 262,348,800/22,400
  6. Step 6: Final answer
    x = 11,712

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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.