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Finding the Fourth Proportional to 13,540.64, 18,674.42 and 11,640.11

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Solution

The fourth proportional to 13,540.64, 18,674.42 and 11,640.11 is: 16,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.64 : 18,674.42 = 11,640.11 : x
  2. Step 2: Convert to fraction form
    13,540.64/18,674.42 = 11,640.11/x
  3. Step 3: Cross multiply
    13,540.64x = 18,674.42 × 11,640.11
  4. Step 4: Simplify right side
    13,540.64x = 217,372,151.41
  5. Step 5: Solve for x
    x = 217,372,151.41/13,540.64
  6. Step 6: Final answer
    x = 16,053.32

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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.