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Finding the Fourth Proportional to 11,914.92, 16,423.65 and 9,392.94

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Solution

The fourth proportional to 11,914.92, 16,423.65 and 9,392.94 is: 12,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.92 : 16,423.65 = 9,392.94 : x
  2. Step 2: Convert to fraction form
    11,914.92/16,423.65 = 9,392.94/x
  3. Step 3: Cross multiply
    11,914.92x = 16,423.65 × 9,392.94
  4. Step 4: Simplify right side
    11,914.92x = 154,266,359.03
  5. Step 5: Solve for x
    x = 154,266,359.03/11,914.92
  6. Step 6: Final answer
    x = 12,947.33

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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.