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Finding the Fourth Proportional to 3,429.92, 4,731 and 2,381.24

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Solution

The fourth proportional to 3,429.92, 4,731 and 2,381.24 is: 3,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.92 : 4,731 = 2,381.24 : x
  2. Step 2: Convert to fraction form
    3,429.92/4,731 = 2,381.24/x
  3. Step 3: Cross multiply
    3,429.92x = 4,731 × 2,381.24
  4. Step 4: Simplify right side
    3,429.92x = 11,265,646.44
  5. Step 5: Solve for x
    x = 11,265,646.44/3,429.92
  6. Step 6: Final answer
    x = 3,284.52

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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.