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Finding the Fourth Proportional to 2,511, 3,770.38 and 2,400.08

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Solution

The fourth proportional to 2,511, 3,770.38 and 2,400.08 is: 3,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,770.38 = 2,400.08 : x
  2. Step 2: Convert to fraction form
    2,511/3,770.38 = 2,400.08/x
  3. Step 3: Cross multiply
    2,511x = 3,770.38 × 2,400.08
  4. Step 4: Simplify right side
    2,511x = 9,049,213.63
  5. Step 5: Solve for x
    x = 9,049,213.63/2,511
  6. Step 6: Final answer
    x = 3,603.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.