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Finding the Fourth Proportional to 16,412.28, 22,649.16 and 9,338.88

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Solution

The fourth proportional to 16,412.28, 22,649.16 and 9,338.88 is: 12,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.28 : 22,649.16 = 9,338.88 : x
  2. Step 2: Convert to fraction form
    16,412.28/22,649.16 = 9,338.88/x
  3. Step 3: Cross multiply
    16,412.28x = 22,649.16 × 9,338.88
  4. Step 4: Simplify right side
    16,412.28x = 211,517,787.34
  5. Step 5: Solve for x
    x = 211,517,787.34/16,412.28
  6. Step 6: Final answer
    x = 12,887.78

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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.