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Finding the Fourth Proportional to 5,323.22, 7,984.82 and 1,427.72

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Solution

The fourth proportional to 5,323.22, 7,984.82 and 1,427.72 is: 2,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.22 : 7,984.82 = 1,427.72 : x
  2. Step 2: Convert to fraction form
    5,323.22/7,984.82 = 1,427.72/x
  3. Step 3: Cross multiply
    5,323.22x = 7,984.82 × 1,427.72
  4. Step 4: Simplify right side
    5,323.22x = 11,400,087.21
  5. Step 5: Solve for x
    x = 11,400,087.21/5,323.22
  6. Step 6: Final answer
    x = 2,141.58

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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.