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Finding the Fourth Proportional to 3,759.86, 5,638.24 and 1,419.47

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Solution

The fourth proportional to 3,759.86, 5,638.24 and 1,419.47 is: 2,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.86 : 5,638.24 = 1,419.47 : x
  2. Step 2: Convert to fraction form
    3,759.86/5,638.24 = 1,419.47/x
  3. Step 3: Cross multiply
    3,759.86x = 5,638.24 × 1,419.47
  4. Step 4: Simplify right side
    3,759.86x = 8,003,307.26
  5. Step 5: Solve for x
    x = 8,003,307.26/3,759.86
  6. Step 6: Final answer
    x = 2,128.62

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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.