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Finding the Fourth Proportional to 9,321.48, 13,978.89 and 3,080.34

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Solution

The fourth proportional to 9,321.48, 13,978.89 and 3,080.34 is: 4,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.48 : 13,978.89 = 3,080.34 : x
  2. Step 2: Convert to fraction form
    9,321.48/13,978.89 = 3,080.34/x
  3. Step 3: Cross multiply
    9,321.48x = 13,978.89 × 3,080.34
  4. Step 4: Simplify right side
    9,321.48x = 43,059,734.02
  5. Step 5: Solve for x
    x = 43,059,734.02/9,321.48
  6. Step 6: Final answer
    x = 4,619.41

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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.