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Finding the Fourth Proportional to 11,711, 16,174.26 and 9,090.20

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Solution

The fourth proportional to 11,711, 16,174.26 and 9,090.20 is: 12,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711 : 16,174.26 = 9,090.20 : x
  2. Step 2: Convert to fraction form
    11,711/16,174.26 = 9,090.20/x
  3. Step 3: Cross multiply
    11,711x = 16,174.26 × 9,090.20
  4. Step 4: Simplify right side
    11,711x = 147,027,258.25
  5. Step 5: Solve for x
    x = 147,027,258.25/11,711
  6. Step 6: Final answer
    x = 12,554.63

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Double scale
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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.