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Finding the Fourth Proportional to 12,895, 19,342.52 and 3,167

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Solution

The fourth proportional to 12,895, 19,342.52 and 3,167 is: 4,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895 : 19,342.52 = 3,167 : x
  2. Step 2: Convert to fraction form
    12,895/19,342.52 = 3,167/x
  3. Step 3: Cross multiply
    12,895x = 19,342.52 × 3,167
  4. Step 4: Simplify right side
    12,895x = 61,257,760.84
  5. Step 5: Solve for x
    x = 61,257,760.84/12,895
  6. Step 6: Final answer
    x = 4,750.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.