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Finding the Fourth Proportional to 7,879.36, 11,808.64 and 3,713.68

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Solution

The fourth proportional to 7,879.36, 11,808.64 and 3,713.68 is: 5,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.36 : 11,808.64 = 3,713.68 : x
  2. Step 2: Convert to fraction form
    7,879.36/11,808.64 = 3,713.68/x
  3. Step 3: Cross multiply
    7,879.36x = 11,808.64 × 3,713.68
  4. Step 4: Simplify right side
    7,879.36x = 43,853,510.20
  5. Step 5: Solve for x
    x = 43,853,510.20/7,879.36
  6. Step 6: Final answer
    x = 5,565.62

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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.