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Finding the Fourth Proportional to 7,879.98, 11,822.76 and 3,723.18

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Solution

The fourth proportional to 7,879.98, 11,822.76 and 3,723.18 is: 5,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.98 : 11,822.76 = 3,723.18 : x
  2. Step 2: Convert to fraction form
    7,879.98/11,822.76 = 3,723.18/x
  3. Step 3: Cross multiply
    7,879.98x = 11,822.76 × 3,723.18
  4. Step 4: Simplify right side
    7,879.98x = 44,018,263.58
  5. Step 5: Solve for x
    x = 44,018,263.58/7,879.98
  6. Step 6: Final answer
    x = 5,586.09

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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.