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Finding the Fourth Proportional to 6,978.26, 9,630 and 3,994.04

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Solution

The fourth proportional to 6,978.26, 9,630 and 3,994.04 is: 5,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.26 : 9,630 = 3,994.04 : x
  2. Step 2: Convert to fraction form
    6,978.26/9,630 = 3,994.04/x
  3. Step 3: Cross multiply
    6,978.26x = 9,630 × 3,994.04
  4. Step 4: Simplify right side
    6,978.26x = 38,462,557.05
  5. Step 5: Solve for x
    x = 38,462,557.05/6,978.26
  6. Step 6: Final answer
    x = 5,511.77

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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.