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Finding the Fourth Proportional to 2,000.87, 3,000.55 and 960.58

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Solution

The fourth proportional to 2,000.87, 3,000.55 and 960.58 is: 1,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.87 : 3,000.55 = 960.58 : x
  2. Step 2: Convert to fraction form
    2,000.87/3,000.55 = 960.58/x
  3. Step 3: Cross multiply
    2,000.87x = 3,000.55 × 960.58
  4. Step 4: Simplify right side
    2,000.87x = 2,882,269.67
  5. Step 5: Solve for x
    x = 2,882,269.67/2,000.87
  6. Step 6: Final answer
    x = 1,440.51

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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.