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Finding the Fourth Proportional to 15,914.68, 23,872.05 and 4,227.86

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Solution

The fourth proportional to 15,914.68, 23,872.05 and 4,227.86 is: 6,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.68 : 23,872.05 = 4,227.86 : x
  2. Step 2: Convert to fraction form
    15,914.68/23,872.05 = 4,227.86/x
  3. Step 3: Cross multiply
    15,914.68x = 23,872.05 × 4,227.86
  4. Step 4: Simplify right side
    15,914.68x = 100,927,744.99
  5. Step 5: Solve for x
    x = 100,927,744.99/15,914.68
  6. Step 6: Final answer
    x = 6,341.80

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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.