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Finding the Fourth Proportional to 12,201, 16,831.74 and 7,163.61

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Solution

The fourth proportional to 12,201, 16,831.74 and 7,163.61 is: 9,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201 : 16,831.74 = 7,163.61 : x
  2. Step 2: Convert to fraction form
    12,201/16,831.74 = 7,163.61/x
  3. Step 3: Cross multiply
    12,201x = 16,831.74 × 7,163.61
  4. Step 4: Simplify right side
    12,201x = 120,576,020.98
  5. Step 5: Solve for x
    x = 120,576,020.98/12,201
  6. Step 6: Final answer
    x = 9,882.47

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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.