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Finding the Fourth Proportional to 2,997.76, 4,136.91 and 1,671.43

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Solution

The fourth proportional to 2,997.76, 4,136.91 and 1,671.43 is: 2,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.76 : 4,136.91 = 1,671.43 : x
  2. Step 2: Convert to fraction form
    2,997.76/4,136.91 = 1,671.43/x
  3. Step 3: Cross multiply
    2,997.76x = 4,136.91 × 1,671.43
  4. Step 4: Simplify right side
    2,997.76x = 6,914,547.12
  5. Step 5: Solve for x
    x = 6,914,547.12/2,997.76
  6. Step 6: Final answer
    x = 2,306.58

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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.