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Finding the Fourth Proportional to 2,898, 3,997.47 and 1,718.28

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Solution

The fourth proportional to 2,898, 3,997.47 and 1,718.28 is: 2,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898 : 3,997.47 = 1,718.28 : x
  2. Step 2: Convert to fraction form
    2,898/3,997.47 = 1,718.28/x
  3. Step 3: Cross multiply
    2,898x = 3,997.47 × 1,718.28
  4. Step 4: Simplify right side
    2,898x = 6,868,772.75
  5. Step 5: Solve for x
    x = 6,868,772.75/2,898
  6. Step 6: Final answer
    x = 2,370.18

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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.