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Finding the Fourth Proportional to 11,718.96, 16,177.70 and 7,245.32

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Solution

The fourth proportional to 11,718.96, 16,177.70 and 7,245.32 is: 10,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.96 : 16,177.70 = 7,245.32 : x
  2. Step 2: Convert to fraction form
    11,718.96/16,177.70 = 7,245.32/x
  3. Step 3: Cross multiply
    11,718.96x = 16,177.70 × 7,245.32
  4. Step 4: Simplify right side
    11,718.96x = 117,212,613.36
  5. Step 5: Solve for x
    x = 117,212,613.36/11,718.96
  6. Step 6: Final answer
    x = 10,001.96

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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.