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Finding the Fourth Proportional to 17,781.92, 26,689.34 and 12,828.48

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Solution

The fourth proportional to 17,781.92, 26,689.34 and 12,828.48 is: 19,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.92 : 26,689.34 = 12,828.48 : x
  2. Step 2: Convert to fraction form
    17,781.92/26,689.34 = 12,828.48/x
  3. Step 3: Cross multiply
    17,781.92x = 26,689.34 × 12,828.48
  4. Step 4: Simplify right side
    17,781.92x = 342,383,664.40
  5. Step 5: Solve for x
    x = 342,383,664.40/17,781.92
  6. Step 6: Final answer
    x = 19,254.59

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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.