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Finding the Fourth Proportional to 3,463.20, 5,194.80 and 866.13

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Solution

The fourth proportional to 3,463.20, 5,194.80 and 866.13 is: 1,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.20 : 5,194.80 = 866.13 : x
  2. Step 2: Convert to fraction form
    3,463.20/5,194.80 = 866.13/x
  3. Step 3: Cross multiply
    3,463.20x = 5,194.80 × 866.13
  4. Step 4: Simplify right side
    3,463.20x = 4,499,372.12
  5. Step 5: Solve for x
    x = 4,499,372.12/3,463.20
  6. Step 6: Final answer
    x = 1,299.20

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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.