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Finding the Fourth Proportional to 16,411, 22,647.18 and 8,959

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Solution

The fourth proportional to 16,411, 22,647.18 and 8,959 is: 12,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411 : 22,647.18 = 8,959 : x
  2. Step 2: Convert to fraction form
    16,411/22,647.18 = 8,959/x
  3. Step 3: Cross multiply
    16,411x = 22,647.18 × 8,959
  4. Step 4: Simplify right side
    16,411x = 202,896,085.62
  5. Step 5: Solve for x
    x = 202,896,085.62/16,411
  6. Step 6: Final answer
    x = 12,363.42

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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.