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Finding the Fourth Proportional to 3,457.24, 5,186.68 and 992.00

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Solution

The fourth proportional to 3,457.24, 5,186.68 and 992.00 is: 1,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.24 : 5,186.68 = 992.00 : x
  2. Step 2: Convert to fraction form
    3,457.24/5,186.68 = 992.00/x
  3. Step 3: Cross multiply
    3,457.24x = 5,186.68 × 992.00
  4. Step 4: Simplify right side
    3,457.24x = 5,145,197.05
  5. Step 5: Solve for x
    x = 5,145,197.05/3,457.24
  6. Step 6: Final answer
    x = 1,488.24

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