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Finding the Fourth Proportional to 13,684.80, 20,515.05 and 4,917.36

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Solution

The fourth proportional to 13,684.80, 20,515.05 and 4,917.36 is: 7,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.80 : 20,515.05 = 4,917.36 : x
  2. Step 2: Convert to fraction form
    13,684.80/20,515.05 = 4,917.36/x
  3. Step 3: Cross multiply
    13,684.80x = 20,515.05 × 4,917.36
  4. Step 4: Simplify right side
    13,684.80x = 100,879,886.27
  5. Step 5: Solve for x
    x = 100,879,886.27/13,684.80
  6. Step 6: Final answer
    x = 7,371.67

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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.