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Finding the Fourth Proportional to 19,793.98, 29,687.70 and 7,319.86

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Solution

The fourth proportional to 19,793.98, 29,687.70 and 7,319.86 is: 10,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.98 : 29,687.70 = 7,319.86 : x
  2. Step 2: Convert to fraction form
    19,793.98/29,687.70 = 7,319.86/x
  3. Step 3: Cross multiply
    19,793.98x = 29,687.70 × 7,319.86
  4. Step 4: Simplify right side
    19,793.98x = 217,309,807.72
  5. Step 5: Solve for x
    x = 217,309,807.72/19,793.98
  6. Step 6: Final answer
    x = 10,978.58

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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.