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Finding the Fourth Proportional to 13,684.46, 20,514.26 and 4,917.31

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Solution

The fourth proportional to 13,684.46, 20,514.26 and 4,917.31 is: 7,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.46 : 20,514.26 = 4,917.31 : x
  2. Step 2: Convert to fraction form
    13,684.46/20,514.26 = 4,917.31/x
  3. Step 3: Cross multiply
    13,684.46x = 20,514.26 × 4,917.31
  4. Step 4: Simplify right side
    13,684.46x = 100,874,936.85
  5. Step 5: Solve for x
    x = 100,874,936.85/13,684.46
  6. Step 6: Final answer
    x = 7,371.50

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1.5x scale

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.