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Finding the Fourth Proportional to 2,997.76, 4,139.76 and 2,834.14

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Solution

The fourth proportional to 2,997.76, 4,139.76 and 2,834.14 is: 3,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.76 : 4,139.76 = 2,834.14 : x
  2. Step 2: Convert to fraction form
    2,997.76/4,139.76 = 2,834.14/x
  3. Step 3: Cross multiply
    2,997.76x = 4,139.76 × 2,834.14
  4. Step 4: Simplify right side
    2,997.76x = 11,732,659.41
  5. Step 5: Solve for x
    x = 11,732,659.41/2,997.76
  6. Step 6: Final answer
    x = 3,913.81

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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.