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Finding the Fourth Proportional to 2,692.27, 3,714.93 and 1,513.12

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Solution

The fourth proportional to 2,692.27, 3,714.93 and 1,513.12 is: 2,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.27 : 3,714.93 = 1,513.12 : x
  2. Step 2: Convert to fraction form
    2,692.27/3,714.93 = 1,513.12/x
  3. Step 3: Cross multiply
    2,692.27x = 3,714.93 × 1,513.12
  4. Step 4: Simplify right side
    2,692.27x = 5,621,116.31
  5. Step 5: Solve for x
    x = 5,621,116.31/2,692.27
  6. Step 6: Final answer
    x = 2,087.87

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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.