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Finding the Fourth Proportional to 2,492.40, 3,447.99 and 2,049.42

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Solution

The fourth proportional to 2,492.40, 3,447.99 and 2,049.42 is: 2,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.40 : 3,447.99 = 2,049.42 : x
  2. Step 2: Convert to fraction form
    2,492.40/3,447.99 = 2,049.42/x
  3. Step 3: Cross multiply
    2,492.40x = 3,447.99 × 2,049.42
  4. Step 4: Simplify right side
    2,492.40x = 7,066,379.67
  5. Step 5: Solve for x
    x = 7,066,379.67/2,492.40
  6. Step 6: Final answer
    x = 2,835.17

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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.