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Finding the Fourth Proportional to 2,531.82, 3,493.81 and 1,412.81

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Solution

The fourth proportional to 2,531.82, 3,493.81 and 1,412.81 is: 1,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.82 : 3,493.81 = 1,412.81 : x
  2. Step 2: Convert to fraction form
    2,531.82/3,493.81 = 1,412.81/x
  3. Step 3: Cross multiply
    2,531.82x = 3,493.81 × 1,412.81
  4. Step 4: Simplify right side
    2,531.82x = 4,936,089.71
  5. Step 5: Solve for x
    x = 4,936,089.71/2,531.82
  6. Step 6: Final answer
    x = 1,949.62

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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.