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Finding the Fourth Proportional to 12,411.42, 17,129.11 and 7,107.98

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Solution

The fourth proportional to 12,411.42, 17,129.11 and 7,107.98 is: 9,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.42 : 17,129.11 = 7,107.98 : x
  2. Step 2: Convert to fraction form
    12,411.42/17,129.11 = 7,107.98/x
  3. Step 3: Cross multiply
    12,411.42x = 17,129.11 × 7,107.98
  4. Step 4: Simplify right side
    12,411.42x = 121,753,371.30
  5. Step 5: Solve for x
    x = 121,753,371.30/12,411.42
  6. Step 6: Final answer
    x = 9,809.79

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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.