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Finding the Fourth Proportional to 2,579.82, 3,871.40 and 936.23

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Solution

The fourth proportional to 2,579.82, 3,871.40 and 936.23 is: 1,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.82 : 3,871.40 = 936.23 : x
  2. Step 2: Convert to fraction form
    2,579.82/3,871.40 = 936.23/x
  3. Step 3: Cross multiply
    2,579.82x = 3,871.40 × 936.23
  4. Step 4: Simplify right side
    2,579.82x = 3,624,503.81
  5. Step 5: Solve for x
    x = 3,624,503.81/2,579.82
  6. Step 6: Final answer
    x = 1,404.94

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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.