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Finding the Fourth Proportional to 2,943.39, 4,415.37 and 863.42

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Solution

The fourth proportional to 2,943.39, 4,415.37 and 863.42 is: 1,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.39 : 4,415.37 = 863.42 : x
  2. Step 2: Convert to fraction form
    2,943.39/4,415.37 = 863.42/x
  3. Step 3: Cross multiply
    2,943.39x = 4,415.37 × 863.42
  4. Step 4: Simplify right side
    2,943.39x = 3,812,318.77
  5. Step 5: Solve for x
    x = 3,812,318.77/2,943.39
  6. Step 6: Final answer
    x = 1,295.21

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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.