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Finding the Fourth Proportional to 13,523.52, 18,662.09 and 7,390.97

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Solution

The fourth proportional to 13,523.52, 18,662.09 and 7,390.97 is: 10,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.52 : 18,662.09 = 7,390.97 : x
  2. Step 2: Convert to fraction form
    13,523.52/18,662.09 = 7,390.97/x
  3. Step 3: Cross multiply
    13,523.52x = 18,662.09 × 7,390.97
  4. Step 4: Simplify right side
    13,523.52x = 137,930,992.02
  5. Step 5: Solve for x
    x = 137,930,992.02/13,523.52
  6. Step 6: Final answer
    x = 10,199.34

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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.