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Finding the Fourth Proportional to 7,978.08, 11,964.96 and 3,360

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Solution

The fourth proportional to 7,978.08, 11,964.96 and 3,360 is: 5,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.08 : 11,964.96 = 3,360 : x
  2. Step 2: Convert to fraction form
    7,978.08/11,964.96 = 3,360/x
  3. Step 3: Cross multiply
    7,978.08x = 11,964.96 × 3,360
  4. Step 4: Simplify right side
    7,978.08x = 40,202,265.60
  5. Step 5: Solve for x
    x = 40,202,265.60/7,978.08
  6. Step 6: Final answer
    x = 5,039.09

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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.