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Finding the Fourth Proportional to 3,880.63, 5,355.30 and 2,202

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Solution

The fourth proportional to 3,880.63, 5,355.30 and 2,202 is: 3,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.63 : 5,355.30 = 2,202 : x
  2. Step 2: Convert to fraction form
    3,880.63/5,355.30 = 2,202/x
  3. Step 3: Cross multiply
    3,880.63x = 5,355.30 × 2,202
  4. Step 4: Simplify right side
    3,880.63x = 11,792,370.60
  5. Step 5: Solve for x
    x = 11,792,370.60/3,880.63
  6. Step 6: Final answer
    x = 3,038.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.