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Finding the Fourth Proportional to 7,645.92, 11,474 and 3,264.40

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Solution

The fourth proportional to 7,645.92, 11,474 and 3,264.40 is: 4,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.92 : 11,474 = 3,264.40 : x
  2. Step 2: Convert to fraction form
    7,645.92/11,474 = 3,264.40/x
  3. Step 3: Cross multiply
    7,645.92x = 11,474 × 3,264.40
  4. Step 4: Simplify right side
    7,645.92x = 37,455,725.60
  5. Step 5: Solve for x
    x = 37,455,725.60/7,645.92
  6. Step 6: Final answer
    x = 4,898.79

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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.