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Finding the Fourth Proportional to 5,740, 7,921.20 and 3,256

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Solution

The fourth proportional to 5,740, 7,921.20 and 3,256 is: 4,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740 : 7,921.20 = 3,256 : x
  2. Step 2: Convert to fraction form
    5,740/7,921.20 = 3,256/x
  3. Step 3: Cross multiply
    5,740x = 7,921.20 × 3,256
  4. Step 4: Simplify right side
    5,740x = 25,791,427.20
  5. Step 5: Solve for x
    x = 25,791,427.20/5,740
  6. Step 6: Final answer
    x = 4,493.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.