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Finding the Fourth Proportional to 2,405.76, 3,319.94 and 1,301.76

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Solution

The fourth proportional to 2,405.76, 3,319.94 and 1,301.76 is: 1,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.76 : 3,319.94 = 1,301.76 : x
  2. Step 2: Convert to fraction form
    2,405.76/3,319.94 = 1,301.76/x
  3. Step 3: Cross multiply
    2,405.76x = 3,319.94 × 1,301.76
  4. Step 4: Simplify right side
    2,405.76x = 4,321,765.09
  5. Step 5: Solve for x
    x = 4,321,765.09/2,405.76
  6. Step 6: Final answer
    x = 1,796.42

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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.