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Finding the Fourth Proportional to 1,620.42, 2,251.19 and 1,605.24

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Solution

The fourth proportional to 1,620.42, 2,251.19 and 1,605.24 is: 2,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.42 : 2,251.19 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    1,620.42/2,251.19 = 1,605.24/x
  3. Step 3: Cross multiply
    1,620.42x = 2,251.19 × 1,605.24
  4. Step 4: Simplify right side
    1,620.42x = 3,613,692.21
  5. Step 5: Solve for x
    x = 3,613,692.21/1,620.42
  6. Step 6: Final answer
    x = 2,230.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.