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Finding the Fourth Proportional to 1,414.35, 1,949.63 and 1,115.03

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Solution

The fourth proportional to 1,414.35, 1,949.63 and 1,115.03 is: 1,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.35 : 1,949.63 = 1,115.03 : x
  2. Step 2: Convert to fraction form
    1,414.35/1,949.63 = 1,115.03/x
  3. Step 3: Cross multiply
    1,414.35x = 1,949.63 × 1,115.03
  4. Step 4: Simplify right side
    1,414.35x = 2,173,880.62
  5. Step 5: Solve for x
    x = 2,173,880.62/1,414.35
  6. Step 6: Final answer
    x = 1,537.02

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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.