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Finding the Fourth Proportional to 2,960.42, 4,441.16 and 880.40

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Solution

The fourth proportional to 2,960.42, 4,441.16 and 880.40 is: 1,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.42 : 4,441.16 = 880.40 : x
  2. Step 2: Convert to fraction form
    2,960.42/4,441.16 = 880.40/x
  3. Step 3: Cross multiply
    2,960.42x = 4,441.16 × 880.40
  4. Step 4: Simplify right side
    2,960.42x = 3,910,010.57
  5. Step 5: Solve for x
    x = 3,910,010.57/2,960.42
  6. Step 6: Final answer
    x = 1,320.76

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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.