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Finding the Fourth Proportional to 13,816.50, 20,715.84 and 5,050.68

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Solution

The fourth proportional to 13,816.50, 20,715.84 and 5,050.68 is: 7,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.50 : 20,715.84 = 5,050.68 : x
  2. Step 2: Convert to fraction form
    13,816.50/20,715.84 = 5,050.68/x
  3. Step 3: Cross multiply
    13,816.50x = 20,715.84 × 5,050.68
  4. Step 4: Simplify right side
    13,816.50x = 104,629,078.77
  5. Step 5: Solve for x
    x = 104,629,078.77/13,816.50
  6. Step 6: Final answer
    x = 7,572.76

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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.