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Finding the Fourth Proportional to 6,978.35, 10,455.06 and 3,684.08

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Solution

The fourth proportional to 6,978.35, 10,455.06 and 3,684.08 is: 5,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.35 : 10,455.06 = 3,684.08 : x
  2. Step 2: Convert to fraction form
    6,978.35/10,455.06 = 3,684.08/x
  3. Step 3: Cross multiply
    6,978.35x = 10,455.06 × 3,684.08
  4. Step 4: Simplify right side
    6,978.35x = 38,517,277.44
  5. Step 5: Solve for x
    x = 38,517,277.44/6,978.35
  6. Step 6: Final answer
    x = 5,519.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.