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Finding the Fourth Proportional to 11,414.21, 15,745.98 and 7,638.21

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Solution

The fourth proportional to 11,414.21, 15,745.98 and 7,638.21 is: 10,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.21 : 15,745.98 = 7,638.21 : x
  2. Step 2: Convert to fraction form
    11,414.21/15,745.98 = 7,638.21/x
  3. Step 3: Cross multiply
    11,414.21x = 15,745.98 × 7,638.21
  4. Step 4: Simplify right side
    11,414.21x = 120,271,101.90
  5. Step 5: Solve for x
    x = 120,271,101.90/11,414.21
  6. Step 6: Final answer
    x = 10,536.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.