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Finding the Fourth Proportional to 11,196.23, 15,437.97 and 7,157.66

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Solution

The fourth proportional to 11,196.23, 15,437.97 and 7,157.66 is: 9,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.23 : 15,437.97 = 7,157.66 : x
  2. Step 2: Convert to fraction form
    11,196.23/15,437.97 = 7,157.66/x
  3. Step 3: Cross multiply
    11,196.23x = 15,437.97 × 7,157.66
  4. Step 4: Simplify right side
    11,196.23x = 110,499,663.16
  5. Step 5: Solve for x
    x = 110,499,663.16/11,196.23
  6. Step 6: Final answer
    x = 9,869.37

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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.