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Finding the Fourth Proportional to 2,996.14, 4,134.50 and 1,737

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Solution

The fourth proportional to 2,996.14, 4,134.50 and 1,737 is: 2,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.14 : 4,134.50 = 1,737 : x
  2. Step 2: Convert to fraction form
    2,996.14/4,134.50 = 1,737/x
  3. Step 3: Cross multiply
    2,996.14x = 4,134.50 × 1,737
  4. Step 4: Simplify right side
    2,996.14x = 7,181,626.50
  5. Step 5: Solve for x
    x = 7,181,626.50/2,996.14
  6. Step 6: Final answer
    x = 2,396.96

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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.