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Finding the Fourth Proportional to 3,890, 5,368.20 and 2,493.02

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Solution

The fourth proportional to 3,890, 5,368.20 and 2,493.02 is: 3,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890 : 5,368.20 = 2,493.02 : x
  2. Step 2: Convert to fraction form
    3,890/5,368.20 = 2,493.02/x
  3. Step 3: Cross multiply
    3,890x = 5,368.20 × 2,493.02
  4. Step 4: Simplify right side
    3,890x = 13,383,029.96
  5. Step 5: Solve for x
    x = 13,383,029.96/3,890
  6. Step 6: Final answer
    x = 3,440.37

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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.