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Finding the Fourth Proportional to 37,851, 52,236 and 21,084

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Solution

The fourth proportional to 37,851, 52,236 and 21,084 is: 29,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851 : 52,236 = 21,084 : x
  2. Step 2: Convert to fraction form
    37,851/52,236 = 21,084/x
  3. Step 3: Cross multiply
    37,851x = 52,236 × 21,084
  4. Step 4: Simplify right side
    37,851x = 1,101,343,824
  5. Step 5: Solve for x
    x = 1,101,343,824/37,851
  6. Step 6: Final answer
    x = 29,096.82

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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.