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Finding the Fourth Proportional to 12,138.66, 16,751.21 and 6,834.38

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Solution

The fourth proportional to 12,138.66, 16,751.21 and 6,834.38 is: 9,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.66 : 16,751.21 = 6,834.38 : x
  2. Step 2: Convert to fraction form
    12,138.66/16,751.21 = 6,834.38/x
  3. Step 3: Cross multiply
    12,138.66x = 16,751.21 × 6,834.38
  4. Step 4: Simplify right side
    12,138.66x = 114,484,016.67
  5. Step 5: Solve for x
    x = 114,484,016.67/12,138.66
  6. Step 6: Final answer
    x = 9,431.36

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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.