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Finding the Fourth Proportional to 7,083.25, 9,774.89 and 3,939.37

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Solution

The fourth proportional to 7,083.25, 9,774.89 and 3,939.37 is: 5,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.25 : 9,774.89 = 3,939.37 : x
  2. Step 2: Convert to fraction form
    7,083.25/9,774.89 = 3,939.37/x
  3. Step 3: Cross multiply
    7,083.25x = 9,774.89 × 3,939.37
  4. Step 4: Simplify right side
    7,083.25x = 38,506,888.72
  5. Step 5: Solve for x
    x = 38,506,888.72/7,083.25
  6. Step 6: Final answer
    x = 5,436.33

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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.