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Finding the Fourth Proportional to 12,123, 16,729.36 and 6,817.68

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Solution

The fourth proportional to 12,123, 16,729.36 and 6,817.68 is: 9,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123 : 16,729.36 = 6,817.68 : x
  2. Step 2: Convert to fraction form
    12,123/16,729.36 = 6,817.68/x
  3. Step 3: Cross multiply
    12,123x = 16,729.36 × 6,817.68
  4. Step 4: Simplify right side
    12,123x = 114,055,423.08
  5. Step 5: Solve for x
    x = 114,055,423.08/12,123
  6. Step 6: Final answer
    x = 9,408.18

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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.