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Finding the Fourth Proportional to 16,854.88, 25,274 and 5,165.28

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Solution

The fourth proportional to 16,854.88, 25,274 and 5,165.28 is: 7,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.88 : 25,274 = 5,165.28 : x
  2. Step 2: Convert to fraction form
    16,854.88/25,274 = 5,165.28/x
  3. Step 3: Cross multiply
    16,854.88x = 25,274 × 5,165.28
  4. Step 4: Simplify right side
    16,854.88x = 130,547,286.72
  5. Step 5: Solve for x
    x = 130,547,286.72/16,854.88
  6. Step 6: Final answer
    x = 7,745.37

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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.