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Finding the Fourth Proportional to 6,978.30, 9,786.90 and 6,978.30

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Solution

The fourth proportional to 6,978.30, 9,786.90 and 6,978.30 is: 9,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.30 : 9,786.90 = 6,978.30 : x
  2. Step 2: Convert to fraction form
    6,978.30/9,786.90 = 6,978.30/x
  3. Step 3: Cross multiply
    6,978.30x = 9,786.90 × 6,978.30
  4. Step 4: Simplify right side
    6,978.30x = 68,295,924.27
  5. Step 5: Solve for x
    x = 68,295,924.27/6,978.30
  6. Step 6: Final answer
    x = 9,786.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.