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Finding the Fourth Proportional to 2,604.31, 3,906.48 and 1,065.31

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Solution

The fourth proportional to 2,604.31, 3,906.48 and 1,065.31 is: 1,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.31 : 3,906.48 = 1,065.31 : x
  2. Step 2: Convert to fraction form
    2,604.31/3,906.48 = 1,065.31/x
  3. Step 3: Cross multiply
    2,604.31x = 3,906.48 × 1,065.31
  4. Step 4: Simplify right side
    2,604.31x = 4,161,587.35
  5. Step 5: Solve for x
    x = 4,161,587.35/2,604.31
  6. Step 6: Final answer
    x = 1,597.96

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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.