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Finding the Fourth Proportional to 12,451, 18,680.22 and 5,054.04

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Solution

The fourth proportional to 12,451, 18,680.22 and 5,054.04 is: 7,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451 : 18,680.22 = 5,054.04 : x
  2. Step 2: Convert to fraction form
    12,451/18,680.22 = 5,054.04/x
  3. Step 3: Cross multiply
    12,451x = 18,680.22 × 5,054.04
  4. Step 4: Simplify right side
    12,451x = 94,410,579.09
  5. Step 5: Solve for x
    x = 94,410,579.09/12,451
  6. Step 6: Final answer
    x = 7,582.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.