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Finding the Fourth Proportional to 3,457.13, 5,185.53 and 991.89

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Solution

The fourth proportional to 3,457.13, 5,185.53 and 991.89 is: 1,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.13 : 5,185.53 = 991.89 : x
  2. Step 2: Convert to fraction form
    3,457.13/5,185.53 = 991.89/x
  3. Step 3: Cross multiply
    3,457.13x = 5,185.53 × 991.89
  4. Step 4: Simplify right side
    3,457.13x = 5,143,475.35
  5. Step 5: Solve for x
    x = 5,143,475.35/3,457.13
  6. Step 6: Final answer
    x = 1,487.79

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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.