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Finding the Fourth Proportional to 7,901.96, 11,857.08 and 3,225.42

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Solution

The fourth proportional to 7,901.96, 11,857.08 and 3,225.42 is: 4,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.96 : 11,857.08 = 3,225.42 : x
  2. Step 2: Convert to fraction form
    7,901.96/11,857.08 = 3,225.42/x
  3. Step 3: Cross multiply
    7,901.96x = 11,857.08 × 3,225.42
  4. Step 4: Simplify right side
    7,901.96x = 38,244,062.97
  5. Step 5: Solve for x
    x = 38,244,062.97/7,901.96
  6. Step 6: Final answer
    x = 4,839.82

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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.