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Finding the Fourth Proportional to 18,306.34, 27,435.50 and 10,412.50

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Solution

The fourth proportional to 18,306.34, 27,435.50 and 10,412.50 is: 15,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306.34 : 27,435.50 = 10,412.50 : x
  2. Step 2: Convert to fraction form
    18,306.34/27,435.50 = 10,412.50/x
  3. Step 3: Cross multiply
    18,306.34x = 27,435.50 × 10,412.50
  4. Step 4: Simplify right side
    18,306.34x = 285,672,143.75
  5. Step 5: Solve for x
    x = 285,672,143.75/18,306.34
  6. Step 6: Final answer
    x = 15,605.09

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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.