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Finding the Fourth Proportional to 9,738, 13,438.44 and 5,322

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Solution

The fourth proportional to 9,738, 13,438.44 and 5,322 is: 7,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 13,438.44 = 5,322 : x
  2. Step 2: Convert to fraction form
    9,738/13,438.44 = 5,322/x
  3. Step 3: Cross multiply
    9,738x = 13,438.44 × 5,322
  4. Step 4: Simplify right side
    9,738x = 71,519,377.68
  5. Step 5: Solve for x
    x = 71,519,377.68/9,738
  6. Step 6: Final answer
    x = 7,344.36

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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.