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Finding the Fourth Proportional to 2,992.24, 4,129.68 and 2,049.01

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Solution

The fourth proportional to 2,992.24, 4,129.68 and 2,049.01 is: 2,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.24 : 4,129.68 = 2,049.01 : x
  2. Step 2: Convert to fraction form
    2,992.24/4,129.68 = 2,049.01/x
  3. Step 3: Cross multiply
    2,992.24x = 4,129.68 × 2,049.01
  4. Step 4: Simplify right side
    2,992.24x = 8,461,755.62
  5. Step 5: Solve for x
    x = 8,461,755.62/2,992.24
  6. Step 6: Final answer
    x = 2,827.90

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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.