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Finding the Fourth Proportional to 6,978.73, 9,630.30 and 3,835.03

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Solution

The fourth proportional to 6,978.73, 9,630.30 and 3,835.03 is: 5,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.73 : 9,630.30 = 3,835.03 : x
  2. Step 2: Convert to fraction form
    6,978.73/9,630.30 = 3,835.03/x
  3. Step 3: Cross multiply
    6,978.73x = 9,630.30 × 3,835.03
  4. Step 4: Simplify right side
    6,978.73x = 36,932,489.41
  5. Step 5: Solve for x
    x = 36,932,489.41/6,978.73
  6. Step 6: Final answer
    x = 5,292.15

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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.