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Finding the Fourth Proportional to 16,800, 23,184 and 9,349.76

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Solution

The fourth proportional to 16,800, 23,184 and 9,349.76 is: 12,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800 : 23,184 = 9,349.76 : x
  2. Step 2: Convert to fraction form
    16,800/23,184 = 9,349.76/x
  3. Step 3: Cross multiply
    16,800x = 23,184 × 9,349.76
  4. Step 4: Simplify right side
    16,800x = 216,764,835.84
  5. Step 5: Solve for x
    x = 216,764,835.84/16,800
  6. Step 6: Final answer
    x = 12,902.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.