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Finding the Fourth Proportional to 2,471.12, 3,408.58 and 1,664.94

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Solution

The fourth proportional to 2,471.12, 3,408.58 and 1,664.94 is: 2,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.12 : 3,408.58 = 1,664.94 : x
  2. Step 2: Convert to fraction form
    2,471.12/3,408.58 = 1,664.94/x
  3. Step 3: Cross multiply
    2,471.12x = 3,408.58 × 1,664.94
  4. Step 4: Simplify right side
    2,471.12x = 5,675,081.19
  5. Step 5: Solve for x
    x = 5,675,081.19/2,471.12
  6. Step 6: Final answer
    x = 2,296.56

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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.