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Finding the Fourth Proportional to 36,989, 51,045 and 20,222

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Solution

The fourth proportional to 36,989, 51,045 and 20,222 is: 27,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,989 : 51,045 = 20,222 : x
  2. Step 2: Convert to fraction form
    36,989/51,045 = 20,222/x
  3. Step 3: Cross multiply
    36,989x = 51,045 × 20,222
  4. Step 4: Simplify right side
    36,989x = 1,032,231,990
  5. Step 5: Solve for x
    x = 1,032,231,990/36,989
  6. Step 6: Final answer
    x = 27,906.46

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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.