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Finding the Fourth Proportional to 17,648.72, 26,473.04 and 13,756

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Solution

The fourth proportional to 17,648.72, 26,473.04 and 13,756 is: 20,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.72 : 26,473.04 = 13,756 : x
  2. Step 2: Convert to fraction form
    17,648.72/26,473.04 = 13,756/x
  3. Step 3: Cross multiply
    17,648.72x = 26,473.04 × 13,756
  4. Step 4: Simplify right side
    17,648.72x = 364,163,138.24
  5. Step 5: Solve for x
    x = 364,163,138.24/17,648.72
  6. Step 6: Final answer
    x = 20,633.97

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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.