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Finding the Fourth Proportional to 18,984, 28,478.73 and 5,837.48

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Solution

The fourth proportional to 18,984, 28,478.73 and 5,837.48 is: 8,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,984 : 28,478.73 = 5,837.48 : x
  2. Step 2: Convert to fraction form
    18,984/28,478.73 = 5,837.48/x
  3. Step 3: Cross multiply
    18,984x = 28,478.73 × 5,837.48
  4. Step 4: Simplify right side
    18,984x = 166,244,016.80
  5. Step 5: Solve for x
    x = 166,244,016.80/18,984
  6. Step 6: Final answer
    x = 8,757.06

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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.