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Finding the Fourth Proportional to 13,651.88, 18,845.41 and 9,178.23

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Solution

The fourth proportional to 13,651.88, 18,845.41 and 9,178.23 is: 12,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.88 : 18,845.41 = 9,178.23 : x
  2. Step 2: Convert to fraction form
    13,651.88/18,845.41 = 9,178.23/x
  3. Step 3: Cross multiply
    13,651.88x = 18,845.41 × 9,178.23
  4. Step 4: Simplify right side
    13,651.88x = 172,967,507.42
  5. Step 5: Solve for x
    x = 172,967,507.42/13,651.88
  6. Step 6: Final answer
    x = 12,669.87

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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.