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Finding the Fourth Proportional to 14,138, 21,202.96 and 5,704.56

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Solution

The fourth proportional to 14,138, 21,202.96 and 5,704.56 is: 8,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 21,202.96 = 5,704.56 : x
  2. Step 2: Convert to fraction form
    14,138/21,202.96 = 5,704.56/x
  3. Step 3: Cross multiply
    14,138x = 21,202.96 × 5,704.56
  4. Step 4: Simplify right side
    14,138x = 120,953,557.50
  5. Step 5: Solve for x
    x = 120,953,557.50/14,138
  6. Step 6: Final answer
    x = 8,555.21

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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.