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Finding the Fourth Proportional to 13,524.77, 18,665.17 and 7,783.97

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Solution

The fourth proportional to 13,524.77, 18,665.17 and 7,783.97 is: 10,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.77 : 18,665.17 = 7,783.97 : x
  2. Step 2: Convert to fraction form
    13,524.77/18,665.17 = 7,783.97/x
  3. Step 3: Cross multiply
    13,524.77x = 18,665.17 × 7,783.97
  4. Step 4: Simplify right side
    13,524.77x = 145,289,010.54
  5. Step 5: Solve for x
    x = 145,289,010.54/13,524.77
  6. Step 6: Final answer
    x = 10,742.44

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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.