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Finding the Fourth Proportional to 37,961, 52,386.72 and 21,194

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Solution

The fourth proportional to 37,961, 52,386.72 and 21,194 is: 29,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,961 : 52,386.72 = 21,194 : x
  2. Step 2: Convert to fraction form
    37,961/52,386.72 = 21,194/x
  3. Step 3: Cross multiply
    37,961x = 52,386.72 × 21,194
  4. Step 4: Simplify right side
    37,961x = 1,110,284,143.68
  5. Step 5: Solve for x
    x = 1,110,284,143.68/37,961
  6. Step 6: Final answer
    x = 29,248.02

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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.