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Finding the Fourth Proportional to 19,873.92, 29,814.54 and 8,180.76

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Solution

The fourth proportional to 19,873.92, 29,814.54 and 8,180.76 is: 12,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.92 : 29,814.54 = 8,180.76 : x
  2. Step 2: Convert to fraction form
    19,873.92/29,814.54 = 8,180.76/x
  3. Step 3: Cross multiply
    19,873.92x = 29,814.54 × 8,180.76
  4. Step 4: Simplify right side
    19,873.92x = 243,905,596.25
  5. Step 5: Solve for x
    x = 243,905,596.25/19,873.92
  6. Step 6: Final answer
    x = 12,272.65

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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.