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Finding the Fourth Proportional to 2,346.92, 3,520.38 and 960.44

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Solution

The fourth proportional to 2,346.92, 3,520.38 and 960.44 is: 1,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.92 : 3,520.38 = 960.44 : x
  2. Step 2: Convert to fraction form
    2,346.92/3,520.38 = 960.44/x
  3. Step 3: Cross multiply
    2,346.92x = 3,520.38 × 960.44
  4. Step 4: Simplify right side
    2,346.92x = 3,381,113.77
  5. Step 5: Solve for x
    x = 3,381,113.77/2,346.92
  6. Step 6: Final answer
    x = 1,440.66

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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.