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Finding the Fourth Proportional to 18,686, 25,786.68 and 10,302.50

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Solution

The fourth proportional to 18,686, 25,786.68 and 10,302.50 is: 14,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,686 : 25,786.68 = 10,302.50 : x
  2. Step 2: Convert to fraction form
    18,686/25,786.68 = 10,302.50/x
  3. Step 3: Cross multiply
    18,686x = 25,786.68 × 10,302.50
  4. Step 4: Simplify right side
    18,686x = 265,667,270.70
  5. Step 5: Solve for x
    x = 265,667,270.70/18,686
  6. Step 6: Final answer
    x = 14,217.45

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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.