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Finding the Fourth Proportional to 6,971.88, 9,621.27 and 3,828

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Solution

The fourth proportional to 6,971.88, 9,621.27 and 3,828 is: 5,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.88 : 9,621.27 = 3,828 : x
  2. Step 2: Convert to fraction form
    6,971.88/9,621.27 = 3,828/x
  3. Step 3: Cross multiply
    6,971.88x = 9,621.27 × 3,828
  4. Step 4: Simplify right side
    6,971.88x = 36,830,221.56
  5. Step 5: Solve for x
    x = 36,830,221.56/6,971.88
  6. Step 6: Final answer
    x = 5,282.68

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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.