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Finding the Fourth Proportional to 18,642.07, 27,942.83 and 9,289.00

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Solution

The fourth proportional to 18,642.07, 27,942.83 and 9,289.00 is: 13,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.07 : 27,942.83 = 9,289.00 : x
  2. Step 2: Convert to fraction form
    18,642.07/27,942.83 = 9,289.00/x
  3. Step 3: Cross multiply
    18,642.07x = 27,942.83 × 9,289.00
  4. Step 4: Simplify right side
    18,642.07x = 259,560,831.57
  5. Step 5: Solve for x
    x = 259,560,831.57/18,642.07
  6. Step 6: Final answer
    x = 13,923.39

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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.