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Finding the Fourth Proportional to 4,992.98, 7,485.11 and 1,872.14

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Solution

The fourth proportional to 4,992.98, 7,485.11 and 1,872.14 is: 2,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.98 : 7,485.11 = 1,872.14 : x
  2. Step 2: Convert to fraction form
    4,992.98/7,485.11 = 1,872.14/x
  3. Step 3: Cross multiply
    4,992.98x = 7,485.11 × 1,872.14
  4. Step 4: Simplify right side
    4,992.98x = 14,013,183.19
  5. Step 5: Solve for x
    x = 14,013,183.19/4,992.98
  6. Step 6: Final answer
    x = 2,806.58

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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.