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Finding the Fourth Proportional to 11,238.22, 16,871.91 and 8,642.98

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Solution

The fourth proportional to 11,238.22, 16,871.91 and 8,642.98 is: 12,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.22 : 16,871.91 = 8,642.98 : x
  2. Step 2: Convert to fraction form
    11,238.22/16,871.91 = 8,642.98/x
  3. Step 3: Cross multiply
    11,238.22x = 16,871.91 × 8,642.98
  4. Step 4: Simplify right side
    11,238.22x = 145,823,580.69
  5. Step 5: Solve for x
    x = 145,823,580.69/11,238.22
  6. Step 6: Final answer
    x = 12,975.68

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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.