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Finding the Fourth Proportional to 21,291.81, 31,944.99 and 8,147.94

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Solution

The fourth proportional to 21,291.81, 31,944.99 and 8,147.94 is: 12,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.81 : 31,944.99 = 8,147.94 : x
  2. Step 2: Convert to fraction form
    21,291.81/31,944.99 = 8,147.94/x
  3. Step 3: Cross multiply
    21,291.81x = 31,944.99 × 8,147.94
  4. Step 4: Simplify right side
    21,291.81x = 260,285,861.82
  5. Step 5: Solve for x
    x = 260,285,861.82/21,291.81
  6. Step 6: Final answer
    x = 12,224.69

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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.