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Finding the Fourth Proportional to 11,198.96, 15,437.99 and 7,165.35

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Solution

The fourth proportional to 11,198.96, 15,437.99 and 7,165.35 is: 9,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.96 : 15,437.99 = 7,165.35 : x
  2. Step 2: Convert to fraction form
    11,198.96/15,437.99 = 7,165.35/x
  3. Step 3: Cross multiply
    11,198.96x = 15,437.99 × 7,165.35
  4. Step 4: Simplify right side
    11,198.96x = 110,618,601.65
  5. Step 5: Solve for x
    x = 110,618,601.65/11,198.96
  6. Step 6: Final answer
    x = 9,877.58

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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.