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Finding the Fourth Proportional to 36,972, 51,021.66 and 20,205

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Solution

The fourth proportional to 36,972, 51,021.66 and 20,205 is: 27,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 51,021.66 = 20,205 : x
  2. Step 2: Convert to fraction form
    36,972/51,021.66 = 20,205/x
  3. Step 3: Cross multiply
    36,972x = 51,021.66 × 20,205
  4. Step 4: Simplify right side
    36,972x = 1,030,892,640.30
  5. Step 5: Solve for x
    x = 1,030,892,640.30/36,972
  6. Step 6: Final answer
    x = 27,883.06

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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.