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Finding the Fourth Proportional to 11,138.16, 16,609.92 and 9,757.92

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Solution

The fourth proportional to 11,138.16, 16,609.92 and 9,757.92 is: 14,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.16 : 16,609.92 = 9,757.92 : x
  2. Step 2: Convert to fraction form
    11,138.16/16,609.92 = 9,757.92/x
  3. Step 3: Cross multiply
    11,138.16x = 16,609.92 × 9,757.92
  4. Step 4: Simplify right side
    11,138.16x = 162,078,270.57
  5. Step 5: Solve for x
    x = 162,078,270.57/11,138.16
  6. Step 6: Final answer
    x = 14,551.62

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.