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Finding the Fourth Proportional to 11,640.60, 17,447.01 and 8,111.49

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Solution

The fourth proportional to 11,640.60, 17,447.01 and 8,111.49 is: 12,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.60 : 17,447.01 = 8,111.49 : x
  2. Step 2: Convert to fraction form
    11,640.60/17,447.01 = 8,111.49/x
  3. Step 3: Cross multiply
    11,640.60x = 17,447.01 × 8,111.49
  4. Step 4: Simplify right side
    11,640.60x = 141,521,247.14
  5. Step 5: Solve for x
    x = 141,521,247.14/11,640.60
  6. Step 6: Final answer
    x = 12,157.56

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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.