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Finding the Fourth Proportional to 3,635, 5,016.46 and 2,142.98

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Solution

The fourth proportional to 3,635, 5,016.46 and 2,142.98 is: 2,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635 : 5,016.46 = 2,142.98 : x
  2. Step 2: Convert to fraction form
    3,635/5,016.46 = 2,142.98/x
  3. Step 3: Cross multiply
    3,635x = 5,016.46 × 2,142.98
  4. Step 4: Simplify right side
    3,635x = 10,750,173.45
  5. Step 5: Solve for x
    x = 10,750,173.45/3,635
  6. Step 6: Final answer
    x = 2,957.41

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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.