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Finding the Fourth Proportional to 11,661.80, 16,093.78 and 6,356.91

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Solution

The fourth proportional to 11,661.80, 16,093.78 and 6,356.91 is: 8,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.80 : 16,093.78 = 6,356.91 : x
  2. Step 2: Convert to fraction form
    11,661.80/16,093.78 = 6,356.91/x
  3. Step 3: Cross multiply
    11,661.80x = 16,093.78 × 6,356.91
  4. Step 4: Simplify right side
    11,661.80x = 102,306,711.02
  5. Step 5: Solve for x
    x = 102,306,711.02/11,661.80
  6. Step 6: Final answer
    x = 8,772.81

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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.