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Finding the Fourth Proportional to 6,425.72, 9,634.32 and 3,653.70

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Solution

The fourth proportional to 6,425.72, 9,634.32 and 3,653.70 is: 5,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.72 : 9,634.32 = 3,653.70 : x
  2. Step 2: Convert to fraction form
    6,425.72/9,634.32 = 3,653.70/x
  3. Step 3: Cross multiply
    6,425.72x = 9,634.32 × 3,653.70
  4. Step 4: Simplify right side
    6,425.72x = 35,200,914.98
  5. Step 5: Solve for x
    x = 35,200,914.98/6,425.72
  6. Step 6: Final answer
    x = 5,478.13

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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.