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Finding the Fourth Proportional to 13,414.92, 18,511.63 and 7,446.39

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Solution

The fourth proportional to 13,414.92, 18,511.63 and 7,446.39 is: 10,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.92 : 18,511.63 = 7,446.39 : x
  2. Step 2: Convert to fraction form
    13,414.92/18,511.63 = 7,446.39/x
  3. Step 3: Cross multiply
    13,414.92x = 18,511.63 × 7,446.39
  4. Step 4: Simplify right side
    13,414.92x = 137,844,816.52
  5. Step 5: Solve for x
    x = 137,844,816.52/13,414.92
  6. Step 6: Final answer
    x = 10,275.49

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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.