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Finding the Fourth Proportional to 13,922.63, 20,856.13 and 8,372.94

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Solution

The fourth proportional to 13,922.63, 20,856.13 and 8,372.94 is: 12,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.63 : 20,856.13 = 8,372.94 : x
  2. Step 2: Convert to fraction form
    13,922.63/20,856.13 = 8,372.94/x
  3. Step 3: Cross multiply
    13,922.63x = 20,856.13 × 8,372.94
  4. Step 4: Simplify right side
    13,922.63x = 174,627,125.12
  5. Step 5: Solve for x
    x = 174,627,125.12/13,922.63
  6. Step 6: Final answer
    x = 12,542.68

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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.