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Finding the Fourth Proportional to 19,976.46, 29,978.06 and 8,289.68

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Solution

The fourth proportional to 19,976.46, 29,978.06 and 8,289.68 is: 12,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.46 : 29,978.06 = 8,289.68 : x
  2. Step 2: Convert to fraction form
    19,976.46/29,978.06 = 8,289.68/x
  3. Step 3: Cross multiply
    19,976.46x = 29,978.06 × 8,289.68
  4. Step 4: Simplify right side
    19,976.46x = 248,508,524.42
  5. Step 5: Solve for x
    x = 248,508,524.42/19,976.46
  6. Step 6: Final answer
    x = 12,440.07

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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.