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Finding the Fourth Proportional to 12,992.50, 17,929.65 and 8,024.50

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Solution

The fourth proportional to 12,992.50, 17,929.65 and 8,024.50 is: 11,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.50 : 17,929.65 = 8,024.50 : x
  2. Step 2: Convert to fraction form
    12,992.50/17,929.65 = 8,024.50/x
  3. Step 3: Cross multiply
    12,992.50x = 17,929.65 × 8,024.50
  4. Step 4: Simplify right side
    12,992.50x = 143,876,476.43
  5. Step 5: Solve for x
    x = 143,876,476.43/12,992.50
  6. Step 6: Final answer
    x = 11,073.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.