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Finding the Fourth Proportional to 3,331.49, 4,997.42 and 866.33

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Solution

The fourth proportional to 3,331.49, 4,997.42 and 866.33 is: 1,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.49 : 4,997.42 = 866.33 : x
  2. Step 2: Convert to fraction form
    3,331.49/4,997.42 = 866.33/x
  3. Step 3: Cross multiply
    3,331.49x = 4,997.42 × 866.33
  4. Step 4: Simplify right side
    3,331.49x = 4,329,385.55
  5. Step 5: Solve for x
    x = 4,329,385.55/3,331.49
  6. Step 6: Final answer
    x = 1,299.53

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1.5x scale

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.