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Finding the Fourth Proportional to 13,859.98, 19,147.01 and 11,993.74

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Solution

The fourth proportional to 13,859.98, 19,147.01 and 11,993.74 is: 16,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.98 : 19,147.01 = 11,993.74 : x
  2. Step 2: Convert to fraction form
    13,859.98/19,147.01 = 11,993.74/x
  3. Step 3: Cross multiply
    13,859.98x = 19,147.01 × 11,993.74
  4. Step 4: Simplify right side
    13,859.98x = 229,644,259.72
  5. Step 5: Solve for x
    x = 229,644,259.72/13,859.98
  6. Step 6: Final answer
    x = 16,568.87

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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.