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Finding the Fourth Proportional to 38,972, 53,781.38 and 22,205

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Solution

The fourth proportional to 38,972, 53,781.38 and 22,205 is: 30,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 53,781.38 = 22,205 : x
  2. Step 2: Convert to fraction form
    38,972/53,781.38 = 22,205/x
  3. Step 3: Cross multiply
    38,972x = 53,781.38 × 22,205
  4. Step 4: Simplify right side
    38,972x = 1,194,215,542.90
  5. Step 5: Solve for x
    x = 1,194,215,542.90/38,972
  6. Step 6: Final answer
    x = 30,642.91

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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.