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Finding the Fourth Proportional to 18,513.36, 27,781.92 and 6,826.68

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Solution

The fourth proportional to 18,513.36, 27,781.92 and 6,826.68 is: 10,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.36 : 27,781.92 = 6,826.68 : x
  2. Step 2: Convert to fraction form
    18,513.36/27,781.92 = 6,826.68/x
  3. Step 3: Cross multiply
    18,513.36x = 27,781.92 × 6,826.68
  4. Step 4: Simplify right side
    18,513.36x = 189,658,277.63
  5. Step 5: Solve for x
    x = 189,658,277.63/18,513.36
  6. Step 6: Final answer
    x = 10,244.40

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1.5x scale

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.