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Finding the Fourth Proportional to 12,078, 16,667.69 and 7,045.70

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Solution

The fourth proportional to 12,078, 16,667.69 and 7,045.70 is: 9,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 16,667.69 = 7,045.70 : x
  2. Step 2: Convert to fraction form
    12,078/16,667.69 = 7,045.70/x
  3. Step 3: Cross multiply
    12,078x = 16,667.69 × 7,045.70
  4. Step 4: Simplify right side
    12,078x = 117,435,424.87
  5. Step 5: Solve for x
    x = 117,435,424.87/12,078
  6. Step 6: Final answer
    x = 9,723.09

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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.