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Finding the Fourth Proportional to 11,653.62, 17,408.40 and 10,481.76

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Solution

The fourth proportional to 11,653.62, 17,408.40 and 10,481.76 is: 15,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.62 : 17,408.40 = 10,481.76 : x
  2. Step 2: Convert to fraction form
    11,653.62/17,408.40 = 10,481.76/x
  3. Step 3: Cross multiply
    11,653.62x = 17,408.40 × 10,481.76
  4. Step 4: Simplify right side
    11,653.62x = 182,470,670.78
  5. Step 5: Solve for x
    x = 182,470,670.78/11,653.62
  6. Step 6: Final answer
    x = 15,657.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.