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Finding the Fourth Proportional to 7,134.50, 10,694.64 and 3,435.68

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Solution

The fourth proportional to 7,134.50, 10,694.64 and 3,435.68 is: 5,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.50 : 10,694.64 = 3,435.68 : x
  2. Step 2: Convert to fraction form
    7,134.50/10,694.64 = 3,435.68/x
  3. Step 3: Cross multiply
    7,134.50x = 10,694.64 × 3,435.68
  4. Step 4: Simplify right side
    7,134.50x = 36,743,360.76
  5. Step 5: Solve for x
    x = 36,743,360.76/7,134.50
  6. Step 6: Final answer
    x = 5,150.10

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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.