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Finding the Fourth Proportional to 12,155.88, 16,768.44 and 7,431.96

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Solution

The fourth proportional to 12,155.88, 16,768.44 and 7,431.96 is: 10,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.88 : 16,768.44 = 7,431.96 : x
  2. Step 2: Convert to fraction form
    12,155.88/16,768.44 = 7,431.96/x
  3. Step 3: Cross multiply
    12,155.88x = 16,768.44 × 7,431.96
  4. Step 4: Simplify right side
    12,155.88x = 124,622,375.34
  5. Step 5: Solve for x
    x = 124,622,375.34/12,155.88
  6. Step 6: Final answer
    x = 10,252.02

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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.