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Finding the Fourth Proportional to 9,396.72, 12,967.80 and 5,205.36

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Solution

The fourth proportional to 9,396.72, 12,967.80 and 5,205.36 is: 7,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.72 : 12,967.80 = 5,205.36 : x
  2. Step 2: Convert to fraction form
    9,396.72/12,967.80 = 5,205.36/x
  3. Step 3: Cross multiply
    9,396.72x = 12,967.80 × 5,205.36
  4. Step 4: Simplify right side
    9,396.72x = 67,502,067.41
  5. Step 5: Solve for x
    x = 67,502,067.41/9,396.72
  6. Step 6: Final answer
    x = 7,183.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.