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Finding the Fourth Proportional to 11,800.45, 16,249.47 and 11,538.52

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Solution

The fourth proportional to 11,800.45, 16,249.47 and 11,538.52 is: 15,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.45 : 16,249.47 = 11,538.52 : x
  2. Step 2: Convert to fraction form
    11,800.45/16,249.47 = 11,538.52/x
  3. Step 3: Cross multiply
    11,800.45x = 16,249.47 × 11,538.52
  4. Step 4: Simplify right side
    11,800.45x = 187,494,834.58
  5. Step 5: Solve for x
    x = 187,494,834.58/11,800.45
  6. Step 6: Final answer
    x = 15,888.79

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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.