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Finding the Fourth Proportional to 19,976.72, 29,978.44 and 8,289.93

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Solution

The fourth proportional to 19,976.72, 29,978.44 and 8,289.93 is: 12,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.72 : 29,978.44 = 8,289.93 : x
  2. Step 2: Convert to fraction form
    19,976.72/29,978.44 = 8,289.93/x
  3. Step 3: Cross multiply
    19,976.72x = 29,978.44 × 8,289.93
  4. Step 4: Simplify right side
    19,976.72x = 248,519,260.80
  5. Step 5: Solve for x
    x = 248,519,260.80/19,976.72
  6. Step 6: Final answer
    x = 12,440.45

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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.