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Finding the Fourth Proportional to 7,076.80, 9,766.06 and 3,890.44

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Solution

The fourth proportional to 7,076.80, 9,766.06 and 3,890.44 is: 5,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.80 : 9,766.06 = 3,890.44 : x
  2. Step 2: Convert to fraction form
    7,076.80/9,766.06 = 3,890.44/x
  3. Step 3: Cross multiply
    7,076.80x = 9,766.06 × 3,890.44
  4. Step 4: Simplify right side
    7,076.80x = 37,994,270.47
  5. Step 5: Solve for x
    x = 37,994,270.47/7,076.80
  6. Step 6: Final answer
    x = 5,368.85

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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.