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Finding the Fourth Proportional to 13,493, 20,239.46 and 10,378.56

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Solution

The fourth proportional to 13,493, 20,239.46 and 10,378.56 is: 15,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493 : 20,239.46 = 10,378.56 : x
  2. Step 2: Convert to fraction form
    13,493/20,239.46 = 10,378.56/x
  3. Step 3: Cross multiply
    13,493x = 20,239.46 × 10,378.56
  4. Step 4: Simplify right side
    13,493x = 210,056,449.98
  5. Step 5: Solve for x
    x = 210,056,449.98/13,493
  6. Step 6: Final answer
    x = 15,567.81

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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.