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Finding the Fourth Proportional to 18,631.50, 27,947.25 and 4,780.50

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Solution

The fourth proportional to 18,631.50, 27,947.25 and 4,780.50 is: 7,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,631.50 : 27,947.25 = 4,780.50 : x
  2. Step 2: Convert to fraction form
    18,631.50/27,947.25 = 4,780.50/x
  3. Step 3: Cross multiply
    18,631.50x = 27,947.25 × 4,780.50
  4. Step 4: Simplify right side
    18,631.50x = 133,601,828.63
  5. Step 5: Solve for x
    x = 133,601,828.63/18,631.50
  6. Step 6: Final answer
    x = 7,170.75

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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.