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Finding the Fourth Proportional to 38,611, 53,282.82 and 21,844

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Solution

The fourth proportional to 38,611, 53,282.82 and 21,844 is: 30,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,611 : 53,282.82 = 21,844 : x
  2. Step 2: Convert to fraction form
    38,611/53,282.82 = 21,844/x
  3. Step 3: Cross multiply
    38,611x = 53,282.82 × 21,844
  4. Step 4: Simplify right side
    38,611x = 1,163,909,920.08
  5. Step 5: Solve for x
    x = 1,163,909,920.08/38,611
  6. Step 6: Final answer
    x = 30,144.52

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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.