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Finding the Fourth Proportional to 19,755.82, 27,254.82 and 12,947.98

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Solution

The fourth proportional to 19,755.82, 27,254.82 and 12,947.98 is: 17,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755.82 : 27,254.82 = 12,947.98 : x
  2. Step 2: Convert to fraction form
    19,755.82/27,254.82 = 12,947.98/x
  3. Step 3: Cross multiply
    19,755.82x = 27,254.82 × 12,947.98
  4. Step 4: Simplify right side
    19,755.82x = 352,894,864.26
  5. Step 5: Solve for x
    x = 352,894,864.26/19,755.82
  6. Step 6: Final answer
    x = 17,862.83

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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.