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Finding the Fourth Proportional to 6,978.84, 9,630.62 and 3,994.48

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Solution

The fourth proportional to 6,978.84, 9,630.62 and 3,994.48 is: 5,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.84 : 9,630.62 = 3,994.48 : x
  2. Step 2: Convert to fraction form
    6,978.84/9,630.62 = 3,994.48/x
  3. Step 3: Cross multiply
    6,978.84x = 9,630.62 × 3,994.48
  4. Step 4: Simplify right side
    6,978.84x = 38,469,318.98
  5. Step 5: Solve for x
    x = 38,469,318.98/6,978.84
  6. Step 6: Final answer
    x = 5,512.28

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1.5x scale

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.