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Finding the Fourth Proportional to 13,414.51, 18,511.79 and 7,446.05

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Solution

The fourth proportional to 13,414.51, 18,511.79 and 7,446.05 is: 10,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.51 : 18,511.79 = 7,446.05 : x
  2. Step 2: Convert to fraction form
    13,414.51/18,511.79 = 7,446.05/x
  3. Step 3: Cross multiply
    13,414.51x = 18,511.79 × 7,446.05
  4. Step 4: Simplify right side
    13,414.51x = 137,839,713.93
  5. Step 5: Solve for x
    x = 137,839,713.93/13,414.51
  6. Step 6: Final answer
    x = 10,275.42

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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.