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Finding the Fourth Proportional to 3,403, 5,101.80 and 1,759.78

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Solution

The fourth proportional to 3,403, 5,101.80 and 1,759.78 is: 2,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 5,101.80 = 1,759.78 : x
  2. Step 2: Convert to fraction form
    3,403/5,101.80 = 1,759.78/x
  3. Step 3: Cross multiply
    3,403x = 5,101.80 × 1,759.78
  4. Step 4: Simplify right side
    3,403x = 8,978,045.60
  5. Step 5: Solve for x
    x = 8,978,045.60/3,403
  6. Step 6: Final answer
    x = 2,638.27

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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.