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Finding the Fourth Proportional to 2,896.74, 3,995.46 and 2,012.76

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Solution

The fourth proportional to 2,896.74, 3,995.46 and 2,012.76 is: 2,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.74 : 3,995.46 = 2,012.76 : x
  2. Step 2: Convert to fraction form
    2,896.74/3,995.46 = 2,012.76/x
  3. Step 3: Cross multiply
    2,896.74x = 3,995.46 × 2,012.76
  4. Step 4: Simplify right side
    2,896.74x = 8,041,902.07
  5. Step 5: Solve for x
    x = 8,041,902.07/2,896.74
  6. Step 6: Final answer
    x = 2,776.19

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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.