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Finding the Fourth Proportional to 13,161.98, 18,163.77 and 7,193.90

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Solution

The fourth proportional to 13,161.98, 18,163.77 and 7,193.90 is: 9,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.98 : 18,163.77 = 7,193.90 : x
  2. Step 2: Convert to fraction form
    13,161.98/18,163.77 = 7,193.90/x
  3. Step 3: Cross multiply
    13,161.98x = 18,163.77 × 7,193.90
  4. Step 4: Simplify right side
    13,161.98x = 130,668,345.00
  5. Step 5: Solve for x
    x = 130,668,345.00/13,161.98
  6. Step 6: Final answer
    x = 9,927.71

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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.