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Finding the Fourth Proportional to 13,399, 20,096.34 and 9,491.56

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Solution

The fourth proportional to 13,399, 20,096.34 and 9,491.56 is: 14,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399 : 20,096.34 = 9,491.56 : x
  2. Step 2: Convert to fraction form
    13,399/20,096.34 = 9,491.56/x
  3. Step 3: Cross multiply
    13,399x = 20,096.34 × 9,491.56
  4. Step 4: Simplify right side
    13,399x = 190,745,616.89
  5. Step 5: Solve for x
    x = 190,745,616.89/13,399
  6. Step 6: Final answer
    x = 14,235.81

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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.