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Finding the Fourth Proportional to 3,782.70, 5,220.02 and 2,104.02

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Solution

The fourth proportional to 3,782.70, 5,220.02 and 2,104.02 is: 2,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.70 : 5,220.02 = 2,104.02 : x
  2. Step 2: Convert to fraction form
    3,782.70/5,220.02 = 2,104.02/x
  3. Step 3: Cross multiply
    3,782.70x = 5,220.02 × 2,104.02
  4. Step 4: Simplify right side
    3,782.70x = 10,983,026.48
  5. Step 5: Solve for x
    x = 10,983,026.48/3,782.70
  6. Step 6: Final answer
    x = 2,903.49

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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.