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Finding the Fourth Proportional to 3,457.12, 5,185.67 and 991.96

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Solution

The fourth proportional to 3,457.12, 5,185.67 and 991.96 is: 1,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.12 : 5,185.67 = 991.96 : x
  2. Step 2: Convert to fraction form
    3,457.12/5,185.67 = 991.96/x
  3. Step 3: Cross multiply
    3,457.12x = 5,185.67 × 991.96
  4. Step 4: Simplify right side
    3,457.12x = 5,143,977.21
  5. Step 5: Solve for x
    x = 5,143,977.21/3,457.12
  6. Step 6: Final answer
    x = 1,487.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.