Home / 11,766-16,237.26-8,784.48

Finding the Fourth Proportional to 11,766, 16,237.26 and 8,784.48

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Solution

The fourth proportional to 11,766, 16,237.26 and 8,784.48 is: 12,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766 : 16,237.26 = 8,784.48 : x
  2. Step 2: Convert to fraction form
    11,766/16,237.26 = 8,784.48/x
  3. Step 3: Cross multiply
    11,766x = 16,237.26 × 8,784.48
  4. Step 4: Simplify right side
    11,766x = 142,635,885.72
  5. Step 5: Solve for x
    x = 142,635,885.72/11,766
  6. Step 6: Final answer
    x = 12,122.72

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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.