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Finding the Fourth Proportional to 11,906.28, 16,431.12 and 8,916.84

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Solution

The fourth proportional to 11,906.28, 16,431.12 and 8,916.84 is: 12,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.28 : 16,431.12 = 8,916.84 : x
  2. Step 2: Convert to fraction form
    11,906.28/16,431.12 = 8,916.84/x
  3. Step 3: Cross multiply
    11,906.28x = 16,431.12 × 8,916.84
  4. Step 4: Simplify right side
    11,906.28x = 146,513,668.06
  5. Step 5: Solve for x
    x = 146,513,668.06/11,906.28
  6. Step 6: Final answer
    x = 12,305.58

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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.