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Finding the Fourth Proportional to 3,156.82, 4,735.91 and 965.48

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Solution

The fourth proportional to 3,156.82, 4,735.91 and 965.48 is: 1,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.82 : 4,735.91 = 965.48 : x
  2. Step 2: Convert to fraction form
    3,156.82/4,735.91 = 965.48/x
  3. Step 3: Cross multiply
    3,156.82x = 4,735.91 × 965.48
  4. Step 4: Simplify right side
    3,156.82x = 4,572,426.39
  5. Step 5: Solve for x
    x = 4,572,426.39/3,156.82
  6. Step 6: Final answer
    x = 1,448.43

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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.