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Finding the Fourth Proportional to 8,274.25, 12,411.28 and 3,343.80

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Solution

The fourth proportional to 8,274.25, 12,411.28 and 3,343.80 is: 5,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.25 : 12,411.28 = 3,343.80 : x
  2. Step 2: Convert to fraction form
    8,274.25/12,411.28 = 3,343.80/x
  3. Step 3: Cross multiply
    8,274.25x = 12,411.28 × 3,343.80
  4. Step 4: Simplify right side
    8,274.25x = 41,500,838.06
  5. Step 5: Solve for x
    x = 41,500,838.06/8,274.25
  6. Step 6: Final answer
    x = 5,015.66

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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.