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Finding the Fourth Proportional to 37,858, 52,245.84 and 21,091

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Solution

The fourth proportional to 37,858, 52,245.84 and 21,091 is: 29,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858 : 52,245.84 = 21,091 : x
  2. Step 2: Convert to fraction form
    37,858/52,245.84 = 21,091/x
  3. Step 3: Cross multiply
    37,858x = 52,245.84 × 21,091
  4. Step 4: Simplify right side
    37,858x = 1,101,917,011.44
  5. Step 5: Solve for x
    x = 1,101,917,011.44/37,858
  6. Step 6: Final answer
    x = 29,106.58

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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.