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Finding the Fourth Proportional to 3,636, 5,017.84 and 2,143.98

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Solution

The fourth proportional to 3,636, 5,017.84 and 2,143.98 is: 2,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636 : 5,017.84 = 2,143.98 : x
  2. Step 2: Convert to fraction form
    3,636/5,017.84 = 2,143.98/x
  3. Step 3: Cross multiply
    3,636x = 5,017.84 × 2,143.98
  4. Step 4: Simplify right side
    3,636x = 10,758,148.60
  5. Step 5: Solve for x
    x = 10,758,148.60/3,636
  6. Step 6: Final answer
    x = 2,958.79

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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.