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Finding the Fourth Proportional to 2,891.70, 4,339.71 and 1,965.06

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Solution

The fourth proportional to 2,891.70, 4,339.71 and 1,965.06 is: 2,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.70 : 4,339.71 = 1,965.06 : x
  2. Step 2: Convert to fraction form
    2,891.70/4,339.71 = 1,965.06/x
  3. Step 3: Cross multiply
    2,891.70x = 4,339.71 × 1,965.06
  4. Step 4: Simplify right side
    2,891.70x = 8,527,790.53
  5. Step 5: Solve for x
    x = 8,527,790.53/2,891.70
  6. Step 6: Final answer
    x = 2,949.06

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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.