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Finding the Fourth Proportional to 6,978.87, 9,630.77 and 3,994.65

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Solution

The fourth proportional to 6,978.87, 9,630.77 and 3,994.65 is: 5,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.87 : 9,630.77 = 3,994.65 : x
  2. Step 2: Convert to fraction form
    6,978.87/9,630.77 = 3,994.65/x
  3. Step 3: Cross multiply
    6,978.87x = 9,630.77 × 3,994.65
  4. Step 4: Simplify right side
    6,978.87x = 38,471,535.41
  5. Step 5: Solve for x
    x = 38,471,535.41/6,978.87
  6. Step 6: Final answer
    x = 5,512.57

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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.