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Finding the Fourth Proportional to 15,914, 23,871 and 4,227.32

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Solution

The fourth proportional to 15,914, 23,871 and 4,227.32 is: 6,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914 : 23,871 = 4,227.32 : x
  2. Step 2: Convert to fraction form
    15,914/23,871 = 4,227.32/x
  3. Step 3: Cross multiply
    15,914x = 23,871 × 4,227.32
  4. Step 4: Simplify right side
    15,914x = 100,910,355.72
  5. Step 5: Solve for x
    x = 100,910,355.72/15,914
  6. Step 6: Final answer
    x = 6,340.98

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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.