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Finding the Fourth Proportional to 16,219.61, 22,383.20 and 9,505.43

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Solution

The fourth proportional to 16,219.61, 22,383.20 and 9,505.43 is: 13,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.61 : 22,383.20 = 9,505.43 : x
  2. Step 2: Convert to fraction form
    16,219.61/22,383.20 = 9,505.43/x
  3. Step 3: Cross multiply
    16,219.61x = 22,383.20 × 9,505.43
  4. Step 4: Simplify right side
    16,219.61x = 212,761,940.78
  5. Step 5: Solve for x
    x = 212,761,940.78/16,219.61
  6. Step 6: Final answer
    x = 13,117.57

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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.