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Finding the Fourth Proportional to 7,879.59, 11,807.91 and 3,978.63

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Solution

The fourth proportional to 7,879.59, 11,807.91 and 3,978.63 is: 5,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.59 : 11,807.91 = 3,978.63 : x
  2. Step 2: Convert to fraction form
    7,879.59/11,807.91 = 3,978.63/x
  3. Step 3: Cross multiply
    7,879.59x = 11,807.91 × 3,978.63
  4. Step 4: Simplify right side
    7,879.59x = 46,979,304.96
  5. Step 5: Solve for x
    x = 46,979,304.96/7,879.59
  6. Step 6: Final answer
    x = 5,962.15

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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.