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Finding the Fourth Proportional to 12,923.70, 17,831.94 and 8,454

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Solution

The fourth proportional to 12,923.70, 17,831.94 and 8,454 is: 11,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.70 : 17,831.94 = 8,454 : x
  2. Step 2: Convert to fraction form
    12,923.70/17,831.94 = 8,454/x
  3. Step 3: Cross multiply
    12,923.70x = 17,831.94 × 8,454
  4. Step 4: Simplify right side
    12,923.70x = 150,751,220.76
  5. Step 5: Solve for x
    x = 150,751,220.76/12,923.70
  6. Step 6: Final answer
    x = 11,664.71

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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.