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Finding the Fourth Proportional to 12,138, 16,750.20 and 6,832.77

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Solution

The fourth proportional to 12,138, 16,750.20 and 6,832.77 is: 9,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138 : 16,750.20 = 6,832.77 : x
  2. Step 2: Convert to fraction form
    12,138/16,750.20 = 6,832.77/x
  3. Step 3: Cross multiply
    12,138x = 16,750.20 × 6,832.77
  4. Step 4: Simplify right side
    12,138x = 114,450,264.05
  5. Step 5: Solve for x
    x = 114,450,264.05/12,138
  6. Step 6: Final answer
    x = 9,429.09

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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.