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Finding the Fourth Proportional to 3,308.69, 4,963.06 and 843.51

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Solution

The fourth proportional to 3,308.69, 4,963.06 and 843.51 is: 1,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.69 : 4,963.06 = 843.51 : x
  2. Step 2: Convert to fraction form
    3,308.69/4,963.06 = 843.51/x
  3. Step 3: Cross multiply
    3,308.69x = 4,963.06 × 843.51
  4. Step 4: Simplify right side
    3,308.69x = 4,186,390.74
  5. Step 5: Solve for x
    x = 4,186,390.74/3,308.69
  6. Step 6: Final answer
    x = 1,265.27

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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.