Home / 7,898.12-11,847-2,054.78

Finding the Fourth Proportional to 7,898.12, 11,847 and 2,054.78

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Solution

The fourth proportional to 7,898.12, 11,847 and 2,054.78 is: 3,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.12 : 11,847 = 2,054.78 : x
  2. Step 2: Convert to fraction form
    7,898.12/11,847 = 2,054.78/x
  3. Step 3: Cross multiply
    7,898.12x = 11,847 × 2,054.78
  4. Step 4: Simplify right side
    7,898.12x = 24,342,978.66
  5. Step 5: Solve for x
    x = 24,342,978.66/7,898.12
  6. Step 6: Final answer
    x = 3,082.12

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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.