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Finding the Fourth Proportional to 11,849.68, 16,351.50 and 6,812.56

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Solution

The fourth proportional to 11,849.68, 16,351.50 and 6,812.56 is: 9,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.68 : 16,351.50 = 6,812.56 : x
  2. Step 2: Convert to fraction form
    11,849.68/16,351.50 = 6,812.56/x
  3. Step 3: Cross multiply
    11,849.68x = 16,351.50 × 6,812.56
  4. Step 4: Simplify right side
    11,849.68x = 111,395,574.84
  5. Step 5: Solve for x
    x = 111,395,574.84/11,849.68
  6. Step 6: Final answer
    x = 9,400.72

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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.