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Finding the Fourth Proportional to 3,633, 5,445.68 and 1,683.60

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Solution

The fourth proportional to 3,633, 5,445.68 and 1,683.60 is: 2,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633 : 5,445.68 = 1,683.60 : x
  2. Step 2: Convert to fraction form
    3,633/5,445.68 = 1,683.60/x
  3. Step 3: Cross multiply
    3,633x = 5,445.68 × 1,683.60
  4. Step 4: Simplify right side
    3,633x = 9,168,346.85
  5. Step 5: Solve for x
    x = 9,168,346.85/3,633
  6. Step 6: Final answer
    x = 2,523.63

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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.