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Finding the Fourth Proportional to 21,261, 31,880.87 and 12,379.25

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Solution

The fourth proportional to 21,261, 31,880.87 and 12,379.25 is: 18,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261 : 31,880.87 = 12,379.25 : x
  2. Step 2: Convert to fraction form
    21,261/31,880.87 = 12,379.25/x
  3. Step 3: Cross multiply
    21,261x = 31,880.87 × 12,379.25
  4. Step 4: Simplify right side
    21,261x = 394,661,259.95
  5. Step 5: Solve for x
    x = 394,661,259.95/21,261
  6. Step 6: Final answer
    x = 18,562.69

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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.