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Finding the Fourth Proportional to 12,113.99, 16,718.69 and 6,736.96

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Solution

The fourth proportional to 12,113.99, 16,718.69 and 6,736.96 is: 9,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.99 : 16,718.69 = 6,736.96 : x
  2. Step 2: Convert to fraction form
    12,113.99/16,718.69 = 6,736.96/x
  3. Step 3: Cross multiply
    12,113.99x = 16,718.69 × 6,736.96
  4. Step 4: Simplify right side
    12,113.99x = 112,633,145.78
  5. Step 5: Solve for x
    x = 112,633,145.78/12,113.99
  6. Step 6: Final answer
    x = 9,297.77

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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.