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Finding the Fourth Proportional to 7,451.84, 11,178.12 and 4,162.43

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Solution

The fourth proportional to 7,451.84, 11,178.12 and 4,162.43 is: 6,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.84 : 11,178.12 = 4,162.43 : x
  2. Step 2: Convert to fraction form
    7,451.84/11,178.12 = 4,162.43/x
  3. Step 3: Cross multiply
    7,451.84x = 11,178.12 × 4,162.43
  4. Step 4: Simplify right side
    7,451.84x = 46,528,086.14
  5. Step 5: Solve for x
    x = 46,528,086.14/7,451.84
  6. Step 6: Final answer
    x = 6,243.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.