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Finding the Fourth Proportional to 11,682.78, 16,117.83 and 7,493.46

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Solution

The fourth proportional to 11,682.78, 16,117.83 and 7,493.46 is: 10,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.78 : 16,117.83 = 7,493.46 : x
  2. Step 2: Convert to fraction form
    11,682.78/16,117.83 = 7,493.46/x
  3. Step 3: Cross multiply
    11,682.78x = 16,117.83 × 7,493.46
  4. Step 4: Simplify right side
    11,682.78x = 120,778,314.39
  5. Step 5: Solve for x
    x = 120,778,314.39/11,682.78
  6. Step 6: Final answer
    x = 10,338.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.