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Finding the Fourth Proportional to 7,914, 11,872.92 and 2,442

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Solution

The fourth proportional to 7,914, 11,872.92 and 2,442 is: 3,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914 : 11,872.92 = 2,442 : x
  2. Step 2: Convert to fraction form
    7,914/11,872.92 = 2,442/x
  3. Step 3: Cross multiply
    7,914x = 11,872.92 × 2,442
  4. Step 4: Simplify right side
    7,914x = 28,993,670.64
  5. Step 5: Solve for x
    x = 28,993,670.64/7,914
  6. Step 6: Final answer
    x = 3,663.59

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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.