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Finding the Fourth Proportional to 12,606.94, 18,913.22 and 3,842.54

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Solution

The fourth proportional to 12,606.94, 18,913.22 and 3,842.54 is: 5,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.94 : 18,913.22 = 3,842.54 : x
  2. Step 2: Convert to fraction form
    12,606.94/18,913.22 = 3,842.54/x
  3. Step 3: Cross multiply
    12,606.94x = 18,913.22 × 3,842.54
  4. Step 4: Simplify right side
    12,606.94x = 72,674,786.74
  5. Step 5: Solve for x
    x = 72,674,786.74/12,606.94
  6. Step 6: Final answer
    x = 5,764.66

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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.