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Finding the Fourth Proportional to 2,455.82, 3,679.63 and 1,724.09

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Solution

The fourth proportional to 2,455.82, 3,679.63 and 1,724.09 is: 2,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.82 : 3,679.63 = 1,724.09 : x
  2. Step 2: Convert to fraction form
    2,455.82/3,679.63 = 1,724.09/x
  3. Step 3: Cross multiply
    2,455.82x = 3,679.63 × 1,724.09
  4. Step 4: Simplify right side
    2,455.82x = 6,343,990.58
  5. Step 5: Solve for x
    x = 6,343,990.58/2,455.82
  6. Step 6: Final answer
    x = 2,583.25

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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.