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Finding the Fourth Proportional to 3,419.64, 5,125.75 and 1,751.48

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Solution

The fourth proportional to 3,419.64, 5,125.75 and 1,751.48 is: 2,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.64 : 5,125.75 = 1,751.48 : x
  2. Step 2: Convert to fraction form
    3,419.64/5,125.75 = 1,751.48/x
  3. Step 3: Cross multiply
    3,419.64x = 5,125.75 × 1,751.48
  4. Step 4: Simplify right side
    3,419.64x = 8,977,618.60
  5. Step 5: Solve for x
    x = 8,977,618.60/3,419.64
  6. Step 6: Final answer
    x = 2,625.31

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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.