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Finding the Fourth Proportional to 14,222.80, 21,318 and 5,453.92

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Solution

The fourth proportional to 14,222.80, 21,318 and 5,453.92 is: 8,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.80 : 21,318 = 5,453.92 : x
  2. Step 2: Convert to fraction form
    14,222.80/21,318 = 5,453.92/x
  3. Step 3: Cross multiply
    14,222.80x = 21,318 × 5,453.92
  4. Step 4: Simplify right side
    14,222.80x = 116,266,666.56
  5. Step 5: Solve for x
    x = 116,266,666.56/14,222.80
  6. Step 6: Final answer
    x = 8,174.67

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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.