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Finding the Fourth Proportional to 16,532.82, 22,814.66 and 8,978.99

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Solution

The fourth proportional to 16,532.82, 22,814.66 and 8,978.99 is: 12,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.82 : 22,814.66 = 8,978.99 : x
  2. Step 2: Convert to fraction form
    16,532.82/22,814.66 = 8,978.99/x
  3. Step 3: Cross multiply
    16,532.82x = 22,814.66 × 8,978.99
  4. Step 4: Simplify right side
    16,532.82x = 204,852,445.03
  5. Step 5: Solve for x
    x = 204,852,445.03/16,532.82
  6. Step 6: Final answer
    x = 12,390.65

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