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Finding the Fourth Proportional to 7,883.94, 11,825.10 and 2,619.30

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Solution

The fourth proportional to 7,883.94, 11,825.10 and 2,619.30 is: 3,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.94 : 11,825.10 = 2,619.30 : x
  2. Step 2: Convert to fraction form
    7,883.94/11,825.10 = 2,619.30/x
  3. Step 3: Cross multiply
    7,883.94x = 11,825.10 × 2,619.30
  4. Step 4: Simplify right side
    7,883.94x = 30,973,484.43
  5. Step 5: Solve for x
    x = 30,973,484.43/7,883.94
  6. Step 6: Final answer
    x = 3,928.68

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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.