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Finding the Fourth Proportional to 2,494.80, 3,741.12 and 1,918.08

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Solution

The fourth proportional to 2,494.80, 3,741.12 and 1,918.08 is: 2,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.80 : 3,741.12 = 1,918.08 : x
  2. Step 2: Convert to fraction form
    2,494.80/3,741.12 = 1,918.08/x
  3. Step 3: Cross multiply
    2,494.80x = 3,741.12 × 1,918.08
  4. Step 4: Simplify right side
    2,494.80x = 7,175,767.45
  5. Step 5: Solve for x
    x = 7,175,767.45/2,494.80
  6. Step 6: Final answer
    x = 2,876.29

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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.