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Finding the Fourth Proportional to 12,057.21, 16,640.38 and 6,751

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Solution

The fourth proportional to 12,057.21, 16,640.38 and 6,751 is: 9,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.21 : 16,640.38 = 6,751 : x
  2. Step 2: Convert to fraction form
    12,057.21/16,640.38 = 6,751/x
  3. Step 3: Cross multiply
    12,057.21x = 16,640.38 × 6,751
  4. Step 4: Simplify right side
    12,057.21x = 112,339,205.38
  5. Step 5: Solve for x
    x = 112,339,205.38/12,057.21
  6. Step 6: Final answer
    x = 9,317.18

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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.