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Finding the Fourth Proportional to 6,971.79, 9,619.43 and 3,989.27

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Solution

The fourth proportional to 6,971.79, 9,619.43 and 3,989.27 is: 5,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.79 : 9,619.43 = 3,989.27 : x
  2. Step 2: Convert to fraction form
    6,971.79/9,619.43 = 3,989.27/x
  3. Step 3: Cross multiply
    6,971.79x = 9,619.43 × 3,989.27
  4. Step 4: Simplify right side
    6,971.79x = 38,374,435.47
  5. Step 5: Solve for x
    x = 38,374,435.47/6,971.79
  6. Step 6: Final answer
    x = 5,504.24

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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.