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Finding the Fourth Proportional to 16,219.80, 22,384.62 and 9,146.88

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Solution

The fourth proportional to 16,219.80, 22,384.62 and 9,146.88 is: 12,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.80 : 22,384.62 = 9,146.88 : x
  2. Step 2: Convert to fraction form
    16,219.80/22,384.62 = 9,146.88/x
  3. Step 3: Cross multiply
    16,219.80x = 22,384.62 × 9,146.88
  4. Step 4: Simplify right side
    16,219.80x = 204,749,432.99
  5. Step 5: Solve for x
    x = 204,749,432.99/16,219.80
  6. Step 6: Final answer
    x = 12,623.43

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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.