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Finding the Fourth Proportional to 3,880.88, 5,822.48 and 2,238.64

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Solution

The fourth proportional to 3,880.88, 5,822.48 and 2,238.64 is: 3,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.88 : 5,822.48 = 2,238.64 : x
  2. Step 2: Convert to fraction form
    3,880.88/5,822.48 = 2,238.64/x
  3. Step 3: Cross multiply
    3,880.88x = 5,822.48 × 2,238.64
  4. Step 4: Simplify right side
    3,880.88x = 13,034,436.63
  5. Step 5: Solve for x
    x = 13,034,436.63/3,880.88
  6. Step 6: Final answer
    x = 3,358.63

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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.