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Finding the Fourth Proportional to 3,633.53, 5,447.81 and 1,877.81

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Solution

The fourth proportional to 3,633.53, 5,447.81 and 1,877.81 is: 2,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.53 : 5,447.81 = 1,877.81 : x
  2. Step 2: Convert to fraction form
    3,633.53/5,447.81 = 1,877.81/x
  3. Step 3: Cross multiply
    3,633.53x = 5,447.81 × 1,877.81
  4. Step 4: Simplify right side
    3,633.53x = 10,229,915.47
  5. Step 5: Solve for x
    x = 10,229,915.47/3,633.53
  6. Step 6: Final answer
    x = 2,815.42

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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.