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Finding the Fourth Proportional to 3,636.81, 5,445.05 and 1,964.94

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Solution

The fourth proportional to 3,636.81, 5,445.05 and 1,964.94 is: 2,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.81 : 5,445.05 = 1,964.94 : x
  2. Step 2: Convert to fraction form
    3,636.81/5,445.05 = 1,964.94/x
  3. Step 3: Cross multiply
    3,636.81x = 5,445.05 × 1,964.94
  4. Step 4: Simplify right side
    3,636.81x = 10,699,198.77
  5. Step 5: Solve for x
    x = 10,699,198.77/3,636.81
  6. Step 6: Final answer
    x = 2,941.92

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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.