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Finding the Fourth Proportional to 2,943.30, 4,415.63 and 863.34

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Solution

The fourth proportional to 2,943.30, 4,415.63 and 863.34 is: 1,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.30 : 4,415.63 = 863.34 : x
  2. Step 2: Convert to fraction form
    2,943.30/4,415.63 = 863.34/x
  3. Step 3: Cross multiply
    2,943.30x = 4,415.63 × 863.34
  4. Step 4: Simplify right side
    2,943.30x = 3,812,190.00
  5. Step 5: Solve for x
    x = 3,812,190.00/2,943.30
  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.