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Finding the Fourth Proportional to 7,435, 11,146.14 and 3,049.72

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Solution

The fourth proportional to 7,435, 11,146.14 and 3,049.72 is: 4,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435 : 11,146.14 = 3,049.72 : x
  2. Step 2: Convert to fraction form
    7,435/11,146.14 = 3,049.72/x
  3. Step 3: Cross multiply
    7,435x = 11,146.14 × 3,049.72
  4. Step 4: Simplify right side
    7,435x = 33,992,606.08
  5. Step 5: Solve for x
    x = 33,992,606.08/7,435
  6. Step 6: Final answer
    x = 4,571.97

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Why These Related Problems?

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