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Finding the Fourth Proportional to 7,274.76, 10,914.84 and 3,809.58

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Solution

The fourth proportional to 7,274.76, 10,914.84 and 3,809.58 is: 5,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.76 : 10,914.84 = 3,809.58 : x
  2. Step 2: Convert to fraction form
    7,274.76/10,914.84 = 3,809.58/x
  3. Step 3: Cross multiply
    7,274.76x = 10,914.84 × 3,809.58
  4. Step 4: Simplify right side
    7,274.76x = 41,580,956.17
  5. Step 5: Solve for x
    x = 41,580,956.17/7,274.76
  6. Step 6: Final answer
    x = 5,715.78

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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.