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Finding the Fourth Proportional to 3,005.67, 4,510.83 and 1,965.39

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Solution

The fourth proportional to 3,005.67, 4,510.83 and 1,965.39 is: 2,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.67 : 4,510.83 = 1,965.39 : x
  2. Step 2: Convert to fraction form
    3,005.67/4,510.83 = 1,965.39/x
  3. Step 3: Cross multiply
    3,005.67x = 4,510.83 × 1,965.39
  4. Step 4: Simplify right side
    3,005.67x = 8,865,540.17
  5. Step 5: Solve for x
    x = 8,865,540.17/3,005.67
  6. Step 6: Final answer
    x = 2,949.61

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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.