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Finding the Fourth Proportional to 2,818.92, 3,890.22 and 1,640.36

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Solution

The fourth proportional to 2,818.92, 3,890.22 and 1,640.36 is: 2,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.92 : 3,890.22 = 1,640.36 : x
  2. Step 2: Convert to fraction form
    2,818.92/3,890.22 = 1,640.36/x
  3. Step 3: Cross multiply
    2,818.92x = 3,890.22 × 1,640.36
  4. Step 4: Simplify right side
    2,818.92x = 6,381,361.28
  5. Step 5: Solve for x
    x = 6,381,361.28/2,818.92
  6. Step 6: Final answer
    x = 2,263.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.