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Finding the Fourth Proportional to 2,511.74, 3,765.13 and 1,051.90

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Solution

The fourth proportional to 2,511.74, 3,765.13 and 1,051.90 is: 1,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.74 : 3,765.13 = 1,051.90 : x
  2. Step 2: Convert to fraction form
    2,511.74/3,765.13 = 1,051.90/x
  3. Step 3: Cross multiply
    2,511.74x = 3,765.13 × 1,051.90
  4. Step 4: Simplify right side
    2,511.74x = 3,960,540.25
  5. Step 5: Solve for x
    x = 3,960,540.25/2,511.74
  6. Step 6: Final answer
    x = 1,576.81

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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.