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Finding the Fourth Proportional to 7,091.80, 9,787.40 and 3,949

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Solution

The fourth proportional to 7,091.80, 9,787.40 and 3,949 is: 5,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.80 : 9,787.40 = 3,949 : x
  2. Step 2: Convert to fraction form
    7,091.80/9,787.40 = 3,949/x
  3. Step 3: Cross multiply
    7,091.80x = 9,787.40 × 3,949
  4. Step 4: Simplify right side
    7,091.80x = 38,650,442.60
  5. Step 5: Solve for x
    x = 38,650,442.60/7,091.80
  6. Step 6: Final answer
    x = 5,450.02

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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.