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Finding the Fourth Proportional to 19,676.80, 27,176 and 15,254.08

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Solution

The fourth proportional to 19,676.80, 27,176 and 15,254.08 is: 21,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.80 : 27,176 = 15,254.08 : x
  2. Step 2: Convert to fraction form
    19,676.80/27,176 = 15,254.08/x
  3. Step 3: Cross multiply
    19,676.80x = 27,176 × 15,254.08
  4. Step 4: Simplify right side
    19,676.80x = 414,544,878.08
  5. Step 5: Solve for x
    x = 414,544,878.08/19,676.80
  6. Step 6: Final answer
    x = 21,067.70

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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.