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Finding the Fourth Proportional to 14,912.64, 20,579.18 and 8,198.21

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Solution

The fourth proportional to 14,912.64, 20,579.18 and 8,198.21 is: 11,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.64 : 20,579.18 = 8,198.21 : x
  2. Step 2: Convert to fraction form
    14,912.64/20,579.18 = 8,198.21/x
  3. Step 3: Cross multiply
    14,912.64x = 20,579.18 × 8,198.21
  4. Step 4: Simplify right side
    14,912.64x = 168,712,439.27
  5. Step 5: Solve for x
    x = 168,712,439.27/14,912.64
  6. Step 6: Final answer
    x = 11,313.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.