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Finding the Fourth Proportional to 2,612.23, 3,918.50 and 1,052.22

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Solution

The fourth proportional to 2,612.23, 3,918.50 and 1,052.22 is: 1,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.23 : 3,918.50 = 1,052.22 : x
  2. Step 2: Convert to fraction form
    2,612.23/3,918.50 = 1,052.22/x
  3. Step 3: Cross multiply
    2,612.23x = 3,918.50 × 1,052.22
  4. Step 4: Simplify right side
    2,612.23x = 4,123,118.81
  5. Step 5: Solve for x
    x = 4,123,118.81/2,612.23
  6. Step 6: Final answer
    x = 1,578.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.