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Finding the Fourth Proportional to 11,658.84, 16,107.96 and 8,137.68

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Solution

The fourth proportional to 11,658.84, 16,107.96 and 8,137.68 is: 11,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.84 : 16,107.96 = 8,137.68 : x
  2. Step 2: Convert to fraction form
    11,658.84/16,107.96 = 8,137.68/x
  3. Step 3: Cross multiply
    11,658.84x = 16,107.96 × 8,137.68
  4. Step 4: Simplify right side
    11,658.84x = 131,081,423.93
  5. Step 5: Solve for x
    x = 131,081,423.93/11,658.84
  6. Step 6: Final answer
    x = 11,243.09

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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.