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Finding the Fourth Proportional to 4,602, 6,351.36 and 2,739

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Solution

The fourth proportional to 4,602, 6,351.36 and 2,739 is: 3,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602 : 6,351.36 = 2,739 : x
  2. Step 2: Convert to fraction form
    4,602/6,351.36 = 2,739/x
  3. Step 3: Cross multiply
    4,602x = 6,351.36 × 2,739
  4. Step 4: Simplify right side
    4,602x = 17,396,375.04
  5. Step 5: Solve for x
    x = 17,396,375.04/4,602
  6. Step 6: Final answer
    x = 3,780.18

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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.