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Finding the Fourth Proportional to 4,880.63, 7,321.86 and 2,409.32

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Solution

The fourth proportional to 4,880.63, 7,321.86 and 2,409.32 is: 3,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.63 : 7,321.86 = 2,409.32 : x
  2. Step 2: Convert to fraction form
    4,880.63/7,321.86 = 2,409.32/x
  3. Step 3: Cross multiply
    4,880.63x = 7,321.86 × 2,409.32
  4. Step 4: Simplify right side
    4,880.63x = 17,640,722.04
  5. Step 5: Solve for x
    x = 17,640,722.04/4,880.63
  6. Step 6: Final answer
    x = 3,614.43

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