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Finding the Fourth Proportional to 14,321.92, 21,456 and 8,461.12

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Solution

The fourth proportional to 14,321.92, 21,456 and 8,461.12 is: 12,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.92 : 21,456 = 8,461.12 : x
  2. Step 2: Convert to fraction form
    14,321.92/21,456 = 8,461.12/x
  3. Step 3: Cross multiply
    14,321.92x = 21,456 × 8,461.12
  4. Step 4: Simplify right side
    14,321.92x = 181,541,790.72
  5. Step 5: Solve for x
    x = 181,541,790.72/14,321.92
  6. Step 6: Final answer
    x = 12,675.80

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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.