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Finding the Fourth Proportional to 18,304.33, 27,456.50 and 5,155

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Solution

The fourth proportional to 18,304.33, 27,456.50 and 5,155 is: 7,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,304.33 : 27,456.50 = 5,155 : x
  2. Step 2: Convert to fraction form
    18,304.33/27,456.50 = 5,155/x
  3. Step 3: Cross multiply
    18,304.33x = 27,456.50 × 5,155
  4. Step 4: Simplify right side
    18,304.33x = 141,538,257.50
  5. Step 5: Solve for x
    x = 141,538,257.50/18,304.33
  6. Step 6: Final answer
    x = 7,732.50

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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.