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Finding the Fourth Proportional to 2,896.80, 3,996.98 and 1,834.89

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Solution

The fourth proportional to 2,896.80, 3,996.98 and 1,834.89 is: 2,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.80 : 3,996.98 = 1,834.89 : x
  2. Step 2: Convert to fraction form
    2,896.80/3,996.98 = 1,834.89/x
  3. Step 3: Cross multiply
    2,896.80x = 3,996.98 × 1,834.89
  4. Step 4: Simplify right side
    2,896.80x = 7,334,001.35
  5. Step 5: Solve for x
    x = 7,334,001.35/2,896.80
  6. Step 6: Final answer
    x = 2,531.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.