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Finding the Fourth Proportional to 12,205.11, 18,336.83 and 7,831.11

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Solution

The fourth proportional to 12,205.11, 18,336.83 and 7,831.11 is: 11,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.11 : 18,336.83 = 7,831.11 : x
  2. Step 2: Convert to fraction form
    12,205.11/18,336.83 = 7,831.11/x
  3. Step 3: Cross multiply
    12,205.11x = 18,336.83 × 7,831.11
  4. Step 4: Simplify right side
    12,205.11x = 143,597,693.63
  5. Step 5: Solve for x
    x = 143,597,693.63/12,205.11
  6. Step 6: Final answer
    x = 11,765.37

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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.