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Finding the Fourth Proportional to 11,889.64, 16,407.93 and 6,584.59

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Solution

The fourth proportional to 11,889.64, 16,407.93 and 6,584.59 is: 9,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.64 : 16,407.93 = 6,584.59 : x
  2. Step 2: Convert to fraction form
    11,889.64/16,407.93 = 6,584.59/x
  3. Step 3: Cross multiply
    11,889.64x = 16,407.93 × 6,584.59
  4. Step 4: Simplify right side
    11,889.64x = 108,039,491.80
  5. Step 5: Solve for x
    x = 108,039,491.80/11,889.64
  6. Step 6: Final answer
    x = 9,086.86

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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.