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Finding the Fourth Proportional to 2,896.89, 3,998.13 and 1,718.34

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Solution

The fourth proportional to 2,896.89, 3,998.13 and 1,718.34 is: 2,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.89 : 3,998.13 = 1,718.34 : x
  2. Step 2: Convert to fraction form
    2,896.89/3,998.13 = 1,718.34/x
  3. Step 3: Cross multiply
    2,896.89x = 3,998.13 × 1,718.34
  4. Step 4: Simplify right side
    2,896.89x = 6,870,146.70
  5. Step 5: Solve for x
    x = 6,870,146.70/2,896.89
  6. Step 6: Final answer
    x = 2,371.56

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Double scale
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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.