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Finding the Fourth Proportional to 38,786, 53,524.68 and 21,122

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Solution

The fourth proportional to 38,786, 53,524.68 and 21,122 is: 29,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,786 : 53,524.68 = 21,122 : x
  2. Step 2: Convert to fraction form
    38,786/53,524.68 = 21,122/x
  3. Step 3: Cross multiply
    38,786x = 53,524.68 × 21,122
  4. Step 4: Simplify right side
    38,786x = 1,130,548,290.96
  5. Step 5: Solve for x
    x = 1,130,548,290.96/38,786
  6. Step 6: Final answer
    x = 29,148.36

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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.