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Finding the Fourth Proportional to 14,326.02, 21,489 and 8,083.20

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Solution

The fourth proportional to 14,326.02, 21,489 and 8,083.20 is: 12,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.02 : 21,489 = 8,083.20 : x
  2. Step 2: Convert to fraction form
    14,326.02/21,489 = 8,083.20/x
  3. Step 3: Cross multiply
    14,326.02x = 21,489 × 8,083.20
  4. Step 4: Simplify right side
    14,326.02x = 173,699,884.80
  5. Step 5: Solve for x
    x = 173,699,884.80/14,326.02
  6. Step 6: Final answer
    x = 12,124.78

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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.