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Finding the Fourth Proportional to 11,872.69, 16,386 and 6,836.41

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Solution

The fourth proportional to 11,872.69, 16,386 and 6,836.41 is: 9,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.69 : 16,386 = 6,836.41 : x
  2. Step 2: Convert to fraction form
    11,872.69/16,386 = 6,836.41/x
  3. Step 3: Cross multiply
    11,872.69x = 16,386 × 6,836.41
  4. Step 4: Simplify right side
    11,872.69x = 112,021,332.33
  5. Step 5: Solve for x
    x = 112,021,332.33/11,872.69
  6. Step 6: Final answer
    x = 9,435.21

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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.