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Finding the Fourth Proportional to 12,057.14, 16,643.22 and 9,815.12

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Solution

The fourth proportional to 12,057.14, 16,643.22 and 9,815.12 is: 13,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.14 : 16,643.22 = 9,815.12 : x
  2. Step 2: Convert to fraction form
    12,057.14/16,643.22 = 9,815.12/x
  3. Step 3: Cross multiply
    12,057.14x = 16,643.22 × 9,815.12
  4. Step 4: Simplify right side
    12,057.14x = 163,355,201.49
  5. Step 5: Solve for x
    x = 163,355,201.49/12,057.14
  6. Step 6: Final answer
    x = 13,548.42

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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.