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Finding the Fourth Proportional to 12,690.69, 19,039.93 and 5,676.61

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Solution

The fourth proportional to 12,690.69, 19,039.93 and 5,676.61 is: 8,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.69 : 19,039.93 = 5,676.61 : x
  2. Step 2: Convert to fraction form
    12,690.69/19,039.93 = 5,676.61/x
  3. Step 3: Cross multiply
    12,690.69x = 19,039.93 × 5,676.61
  4. Step 4: Simplify right side
    12,690.69x = 108,082,257.04
  5. Step 5: Solve for x
    x = 108,082,257.04/12,690.69
  6. Step 6: Final answer
    x = 8,516.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.