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Finding the Fourth Proportional to 18,135.96, 27,203.40 and 6,441

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Solution

The fourth proportional to 18,135.96, 27,203.40 and 6,441 is: 9,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135.96 : 27,203.40 = 6,441 : x
  2. Step 2: Convert to fraction form
    18,135.96/27,203.40 = 6,441/x
  3. Step 3: Cross multiply
    18,135.96x = 27,203.40 × 6,441
  4. Step 4: Simplify right side
    18,135.96x = 175,217,099.40
  5. Step 5: Solve for x
    x = 175,217,099.40/18,135.96
  6. Step 6: Final answer
    x = 9,661.31

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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.