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Finding the Fourth Proportional to 11,889.92, 16,406.40 and 6,584.64

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Solution

The fourth proportional to 11,889.92, 16,406.40 and 6,584.64 is: 9,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.92 : 16,406.40 = 6,584.64 : x
  2. Step 2: Convert to fraction form
    11,889.92/16,406.40 = 6,584.64/x
  3. Step 3: Cross multiply
    11,889.92x = 16,406.40 × 6,584.64
  4. Step 4: Simplify right side
    11,889.92x = 108,030,237.70
  5. Step 5: Solve for x
    x = 108,030,237.70/11,889.92
  6. Step 6: Final answer
    x = 9,085.87

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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.