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Finding the Fourth Proportional to 4,623, 6,379.62 and 2,734.68

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Solution

The fourth proportional to 4,623, 6,379.62 and 2,734.68 is: 3,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623 : 6,379.62 = 2,734.68 : x
  2. Step 2: Convert to fraction form
    4,623/6,379.62 = 2,734.68/x
  3. Step 3: Cross multiply
    4,623x = 6,379.62 × 2,734.68
  4. Step 4: Simplify right side
    4,623x = 17,446,219.22
  5. Step 5: Solve for x
    x = 17,446,219.22/4,623
  6. Step 6: Final answer
    x = 3,773.79

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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.