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Finding the Fourth Proportional to 3,511, 5,266.50 and 1,432.14

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Solution

The fourth proportional to 3,511, 5,266.50 and 1,432.14 is: 2,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511 : 5,266.50 = 1,432.14 : x
  2. Step 2: Convert to fraction form
    3,511/5,266.50 = 1,432.14/x
  3. Step 3: Cross multiply
    3,511x = 5,266.50 × 1,432.14
  4. Step 4: Simplify right side
    3,511x = 7,542,365.31
  5. Step 5: Solve for x
    x = 7,542,365.31/3,511
  6. Step 6: Final answer
    x = 2,148.21

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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.