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Finding the Fourth Proportional to 6,721, 9,274.98 and 3,777

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Solution

The fourth proportional to 6,721, 9,274.98 and 3,777 is: 5,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721 : 9,274.98 = 3,777 : x
  2. Step 2: Convert to fraction form
    6,721/9,274.98 = 3,777/x
  3. Step 3: Cross multiply
    6,721x = 9,274.98 × 3,777
  4. Step 4: Simplify right side
    6,721x = 35,031,599.46
  5. Step 5: Solve for x
    x = 35,031,599.46/6,721
  6. Step 6: Final answer
    x = 5,212.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.