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Finding the Fourth Proportional to 13,874, 19,146.20 and 8,906

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Solution

The fourth proportional to 13,874, 19,146.20 and 8,906 is: 12,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 19,146.20 = 8,906 : x
  2. Step 2: Convert to fraction form
    13,874/19,146.20 = 8,906/x
  3. Step 3: Cross multiply
    13,874x = 19,146.20 × 8,906
  4. Step 4: Simplify right side
    13,874x = 170,516,057.20
  5. Step 5: Solve for x
    x = 170,516,057.20/13,874
  6. Step 6: Final answer
    x = 12,290.33

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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.