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Finding the Fourth Proportional to 12,081, 16,671.69 and 6,775.81

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Solution

The fourth proportional to 12,081, 16,671.69 and 6,775.81 is: 9,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081 : 16,671.69 = 6,775.81 : x
  2. Step 2: Convert to fraction form
    12,081/16,671.69 = 6,775.81/x
  3. Step 3: Cross multiply
    12,081x = 16,671.69 × 6,775.81
  4. Step 4: Simplify right side
    12,081x = 112,964,203.82
  5. Step 5: Solve for x
    x = 112,964,203.82/12,081
  6. Step 6: Final answer
    x = 9,350.57

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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.