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Finding the Fourth Proportional to 36,923, 55,384.26 and 9,221

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Solution

The fourth proportional to 36,923, 55,384.26 and 9,221 is: 13,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,923 : 55,384.26 = 9,221 : x
  2. Step 2: Convert to fraction form
    36,923/55,384.26 = 9,221/x
  3. Step 3: Cross multiply
    36,923x = 55,384.26 × 9,221
  4. Step 4: Simplify right side
    36,923x = 510,698,261.46
  5. Step 5: Solve for x
    x = 510,698,261.46/36,923
  6. Step 6: Final answer
    x = 13,831.44

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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.