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Finding the Fourth Proportional to 18,978.80, 28,474.09 and 7,133.63

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Solution

The fourth proportional to 18,978.80, 28,474.09 and 7,133.63 is: 10,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.80 : 28,474.09 = 7,133.63 : x
  2. Step 2: Convert to fraction form
    18,978.80/28,474.09 = 7,133.63/x
  3. Step 3: Cross multiply
    18,978.80x = 28,474.09 × 7,133.63
  4. Step 4: Simplify right side
    18,978.80x = 203,123,462.44
  5. Step 5: Solve for x
    x = 203,123,462.44/18,978.80
  6. Step 6: Final answer
    x = 10,702.65

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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.