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Finding the Fourth Proportional to 2,396.43, 3,594.82 and 641.39

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Solution

The fourth proportional to 2,396.43, 3,594.82 and 641.39 is: 962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.43 : 3,594.82 = 641.39 : x
  2. Step 2: Convert to fraction form
    2,396.43/3,594.82 = 641.39/x
  3. Step 3: Cross multiply
    2,396.43x = 3,594.82 × 641.39
  4. Step 4: Simplify right side
    2,396.43x = 2,305,681.60
  5. Step 5: Solve for x
    x = 2,305,681.60/2,396.43
  6. Step 6: Final answer
    x = 962.13

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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.