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Finding the Fourth Proportional to 31,167, 46,750.50 and 9,279

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Solution

The fourth proportional to 31,167, 46,750.50 and 9,279 is: 13,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167 : 46,750.50 = 9,279 : x
  2. Step 2: Convert to fraction form
    31,167/46,750.50 = 9,279/x
  3. Step 3: Cross multiply
    31,167x = 46,750.50 × 9,279
  4. Step 4: Simplify right side
    31,167x = 433,797,889.50
  5. Step 5: Solve for x
    x = 433,797,889.50/31,167
  6. Step 6: Final answer
    x = 13,918.50

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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.