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Finding the Fourth Proportional to 3,463.40, 5,195.12 and 866.34

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Solution

The fourth proportional to 3,463.40, 5,195.12 and 866.34 is: 1,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.40 : 5,195.12 = 866.34 : x
  2. Step 2: Convert to fraction form
    3,463.40/5,195.12 = 866.34/x
  3. Step 3: Cross multiply
    3,463.40x = 5,195.12 × 866.34
  4. Step 4: Simplify right side
    3,463.40x = 4,500,735.93
  5. Step 5: Solve for x
    x = 4,500,735.93/3,463.40
  6. Step 6: Final answer
    x = 1,299.51

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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.