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Finding the Fourth Proportional to 9,321.60, 13,982.40 and 3,477.90

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Solution

The fourth proportional to 9,321.60, 13,982.40 and 3,477.90 is: 5,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.60 : 13,982.40 = 3,477.90 : x
  2. Step 2: Convert to fraction form
    9,321.60/13,982.40 = 3,477.90/x
  3. Step 3: Cross multiply
    9,321.60x = 13,982.40 × 3,477.90
  4. Step 4: Simplify right side
    9,321.60x = 48,629,388.96
  5. Step 5: Solve for x
    x = 48,629,388.96/9,321.60
  6. Step 6: Final answer
    x = 5,216.85

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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.