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Finding the Fourth Proportional to 2,692.20, 3,714.90 and 1,513.02

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Solution

The fourth proportional to 2,692.20, 3,714.90 and 1,513.02 is: 2,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.20 : 3,714.90 = 1,513.02 : x
  2. Step 2: Convert to fraction form
    2,692.20/3,714.90 = 1,513.02/x
  3. Step 3: Cross multiply
    2,692.20x = 3,714.90 × 1,513.02
  4. Step 4: Simplify right side
    2,692.20x = 5,620,718.00
  5. Step 5: Solve for x
    x = 5,620,718.00/2,692.20
  6. Step 6: Final answer
    x = 2,087.78

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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.