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Finding the Fourth Proportional to 12,078, 16,667.68 and 6,772.80

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Solution

The fourth proportional to 12,078, 16,667.68 and 6,772.80 is: 9,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 16,667.68 = 6,772.80 : x
  2. Step 2: Convert to fraction form
    12,078/16,667.68 = 6,772.80/x
  3. Step 3: Cross multiply
    12,078x = 16,667.68 × 6,772.80
  4. Step 4: Simplify right side
    12,078x = 112,886,863.10
  5. Step 5: Solve for x
    x = 112,886,863.10/12,078
  6. Step 6: Final answer
    x = 9,346.49

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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.