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Finding the Fourth Proportional to 13,163.99, 18,178.49 and 8,456.54

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Solution

The fourth proportional to 13,163.99, 18,178.49 and 8,456.54 is: 11,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.99 : 18,178.49 = 8,456.54 : x
  2. Step 2: Convert to fraction form
    13,163.99/18,178.49 = 8,456.54/x
  3. Step 3: Cross multiply
    13,163.99x = 18,178.49 × 8,456.54
  4. Step 4: Simplify right side
    13,163.99x = 153,727,058.07
  5. Step 5: Solve for x
    x = 153,727,058.07/13,163.99
  6. Step 6: Final answer
    x = 11,677.85

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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.