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Finding the Fourth Proportional to 5,231.82, 7,848.97 and 1,722.11

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Solution

The fourth proportional to 5,231.82, 7,848.97 and 1,722.11 is: 2,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.82 : 7,848.97 = 1,722.11 : x
  2. Step 2: Convert to fraction form
    5,231.82/7,848.97 = 1,722.11/x
  3. Step 3: Cross multiply
    5,231.82x = 7,848.97 × 1,722.11
  4. Step 4: Simplify right side
    5,231.82x = 13,516,764.12
  5. Step 5: Solve for x
    x = 13,516,764.12/5,231.82
  6. Step 6: Final answer
    x = 2,583.57

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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.