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Finding the Fourth Proportional to 18,634.72, 25,717.80 and 10,678

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Solution

The fourth proportional to 18,634.72, 25,717.80 and 10,678 is: 14,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.72 : 25,717.80 = 10,678 : x
  2. Step 2: Convert to fraction form
    18,634.72/25,717.80 = 10,678/x
  3. Step 3: Cross multiply
    18,634.72x = 25,717.80 × 10,678
  4. Step 4: Simplify right side
    18,634.72x = 274,614,668.40
  5. Step 5: Solve for x
    x = 274,614,668.40/18,634.72
  6. Step 6: Final answer
    x = 14,736.72

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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.