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Finding the Fourth Proportional to 9,321.76, 13,978.22 and 3,394.45

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Solution

The fourth proportional to 9,321.76, 13,978.22 and 3,394.45 is: 5,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.76 : 13,978.22 = 3,394.45 : x
  2. Step 2: Convert to fraction form
    9,321.76/13,978.22 = 3,394.45/x
  3. Step 3: Cross multiply
    9,321.76x = 13,978.22 × 3,394.45
  4. Step 4: Simplify right side
    9,321.76x = 47,448,282.02
  5. Step 5: Solve for x
    x = 47,448,282.02/9,321.76
  6. Step 6: Final answer
    x = 5,090.06

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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.