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Finding the Fourth Proportional to 11,865.72, 16,378.58 and 8,329.80

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Solution

The fourth proportional to 11,865.72, 16,378.58 and 8,329.80 is: 11,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.72 : 16,378.58 = 8,329.80 : x
  2. Step 2: Convert to fraction form
    11,865.72/16,378.58 = 8,329.80/x
  3. Step 3: Cross multiply
    11,865.72x = 16,378.58 × 8,329.80
  4. Step 4: Simplify right side
    11,865.72x = 136,430,295.68
  5. Step 5: Solve for x
    x = 136,430,295.68/11,865.72
  6. Step 6: Final answer
    x = 11,497.85

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1.5x scale

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.