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Finding the Fourth Proportional to 11,031, 16,546.49 and 7,758.73

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Solution

The fourth proportional to 11,031, 16,546.49 and 7,758.73 is: 11,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031 : 16,546.49 = 7,758.73 : x
  2. Step 2: Convert to fraction form
    11,031/16,546.49 = 7,758.73/x
  3. Step 3: Cross multiply
    11,031x = 16,546.49 × 7,758.73
  4. Step 4: Simplify right side
    11,031x = 128,379,748.36
  5. Step 5: Solve for x
    x = 128,379,748.36/11,031
  6. Step 6: Final answer
    x = 11,638.09

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.