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Finding the Fourth Proportional to 7,893.28, 11,838.64 and 2,420

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Solution

The fourth proportional to 7,893.28, 11,838.64 and 2,420 is: 3,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.28 : 11,838.64 = 2,420 : x
  2. Step 2: Convert to fraction form
    7,893.28/11,838.64 = 2,420/x
  3. Step 3: Cross multiply
    7,893.28x = 11,838.64 × 2,420
  4. Step 4: Simplify right side
    7,893.28x = 28,649,508.80
  5. Step 5: Solve for x
    x = 28,649,508.80/7,893.28
  6. Step 6: Final answer
    x = 3,629.61

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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.